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Finding the Fourth Proportional to 181,702.40, 272,294.40 and 133,944.80

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Solution

The fourth proportional to 181,702.40, 272,294.40 and 133,944.80 is: 200,726.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,702.40 : 272,294.40 = 133,944.80 : x
  2. Step 2: Convert to fraction form
    181,702.40/272,294.40 = 133,944.80/x
  3. Step 3: Cross multiply
    181,702.40x = 272,294.40 × 133,944.80
  4. Step 4: Simplify right side
    181,702.40x = 36,472,418,949.12
  5. Step 5: Solve for x
    x = 36,472,418,949.12/181,702.40
  6. Step 6: Final answer
    x = 200,726.13

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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.