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Finding the Fourth Proportional to 406,753.95, 610,162.11 and 136,883.42

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Solution

The fourth proportional to 406,753.95, 610,162.11 and 136,883.42 is: 205,335.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,753.95 : 610,162.11 = 136,883.42 : x
  2. Step 2: Convert to fraction form
    406,753.95/610,162.11 = 136,883.42/x
  3. Step 3: Cross multiply
    406,753.95x = 610,162.11 × 136,883.42
  4. Step 4: Simplify right side
    406,753.95x = 83,521,073,320.41
  5. Step 5: Solve for x
    x = 83,521,073,320.41/406,753.95
  6. Step 6: Final answer
    x = 205,335.62

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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.