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Finding the Fourth Proportional to 201,465,275.80, 302,197,913.70 and 157,627,298.20

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Solution

The fourth proportional to 201,465,275.80, 302,197,913.70 and 157,627,298.20 is: 236,440,947.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,465,275.80 : 302,197,913.70 = 157,627,298.20 : x
  2. Step 2: Convert to fraction form
    201,465,275.80/302,197,913.70 = 157,627,298.20/x
  3. Step 3: Cross multiply
    201,465,275.80x = 302,197,913.70 × 157,627,298.20
  4. Step 4: Simplify right side
    201,465,275.80x = 47,634,640,658,207,760
  5. Step 5: Solve for x
    x = 47,634,640,658,207,760/201,465,275.80
  6. Step 6: Final answer
    x = 236,440,947.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.