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Finding the Fourth Proportional to 406,757.45, 610,167.36 and 136,886.92

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Solution

The fourth proportional to 406,757.45, 610,167.36 and 136,886.92 is: 205,340.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,757.45 : 610,167.36 = 136,886.92 : x
  2. Step 2: Convert to fraction form
    406,757.45/610,167.36 = 136,886.92/x
  3. Step 3: Cross multiply
    406,757.45x = 610,167.36 × 136,886.92
  4. Step 4: Simplify right side
    406,757.45x = 83,523,930,594.93
  5. Step 5: Solve for x
    x = 83,523,930,594.93/406,757.45
  6. Step 6: Final answer
    x = 205,340.87

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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.