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Finding the Fourth Proportional to 453,396.53, 680,132.86 and 137,856.17

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Solution

The fourth proportional to 453,396.53, 680,132.86 and 137,856.17 is: 206,795.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,396.53 : 680,132.86 = 137,856.17 : x
  2. Step 2: Convert to fraction form
    453,396.53/680,132.86 = 137,856.17/x
  3. Step 3: Cross multiply
    453,396.53x = 680,132.86 × 137,856.17
  4. Step 4: Simplify right side
    453,396.53x = 93,760,511,170.75
  5. Step 5: Solve for x
    x = 93,760,511,170.75/453,396.53
  6. Step 6: Final answer
    x = 206,795.83

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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.