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Finding the Fourth Proportional to 201,931.20, 302,240.70 and 157,316.40

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Solution

The fourth proportional to 201,931.20, 302,240.70 and 157,316.40 is: 235,463.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,931.20 : 302,240.70 = 157,316.40 : x
  2. Step 2: Convert to fraction form
    201,931.20/302,240.70 = 157,316.40/x
  3. Step 3: Cross multiply
    201,931.20x = 302,240.70 × 157,316.40
  4. Step 4: Simplify right side
    201,931.20x = 47,547,418,857.48
  5. Step 5: Solve for x
    x = 47,547,418,857.48/201,931.20
  6. Step 6: Final answer
    x = 235,463.46

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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.