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Finding the Fourth Proportional to 564,092.22, 846,124.38 and 137,631

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Solution

The fourth proportional to 564,092.22, 846,124.38 and 137,631 is: 206,443.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,092.22 : 846,124.38 = 137,631 : x
  2. Step 2: Convert to fraction form
    564,092.22/846,124.38 = 137,631/x
  3. Step 3: Cross multiply
    564,092.22x = 846,124.38 × 137,631
  4. Step 4: Simplify right side
    564,092.22x = 116,452,944,543.78
  5. Step 5: Solve for x
    x = 116,452,944,543.78/564,092.22
  6. Step 6: Final answer
    x = 206,443.10

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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.