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Finding the Fourth Proportional to 261,668.20, 392,502.30 and 149,693.80

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Solution

The fourth proportional to 261,668.20, 392,502.30 and 149,693.80 is: 224,540.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,668.20 : 392,502.30 = 149,693.80 : x
  2. Step 2: Convert to fraction form
    261,668.20/392,502.30 = 149,693.80/x
  3. Step 3: Cross multiply
    261,668.20x = 392,502.30 × 149,693.80
  4. Step 4: Simplify right side
    261,668.20x = 58,755,160,795.74
  5. Step 5: Solve for x
    x = 58,755,160,795.74/261,668.20
  6. Step 6: Final answer
    x = 224,540.70

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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.