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Finding the Fourth Proportional to 415,691.54, 623,537.62 and 100,148.76

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Solution

The fourth proportional to 415,691.54, 623,537.62 and 100,148.76 is: 150,223.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,691.54 : 623,537.62 = 100,148.76 : x
  2. Step 2: Convert to fraction form
    415,691.54/623,537.62 = 100,148.76/x
  3. Step 3: Cross multiply
    415,691.54x = 623,537.62 × 100,148.76
  4. Step 4: Simplify right side
    415,691.54x = 62,446,519,456.35
  5. Step 5: Solve for x
    x = 62,446,519,456.35/415,691.54
  6. Step 6: Final answer
    x = 150,223.21

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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.