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Finding the Fourth Proportional to 201,274, 301,921.26 and 51,515.52

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Solution

The fourth proportional to 201,274, 301,921.26 and 51,515.52 is: 77,275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,274 : 301,921.26 = 51,515.52 : x
  2. Step 2: Convert to fraction form
    201,274/301,921.26 = 51,515.52/x
  3. Step 3: Cross multiply
    201,274x = 301,921.26 × 51,515.52
  4. Step 4: Simplify right side
    201,274x = 15,553,630,707.96
  5. Step 5: Solve for x
    x = 15,553,630,707.96/201,274
  6. Step 6: Final answer
    x = 77,275.91

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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.