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Finding the Fourth Proportional to 220,472.65, 304,402.52 and 147,984.26

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Solution

The fourth proportional to 220,472.65, 304,402.52 and 147,984.26 is: 204,319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,472.65 : 304,402.52 = 147,984.26 : x
  2. Step 2: Convert to fraction form
    220,472.65/304,402.52 = 147,984.26/x
  3. Step 3: Cross multiply
    220,472.65x = 304,402.52 × 147,984.26
  4. Step 4: Simplify right side
    220,472.65x = 45,046,781,685.42
  5. Step 5: Solve for x
    x = 45,046,781,685.42/220,472.65
  6. Step 6: Final answer
    x = 204,319.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.