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Finding the Fourth Proportional to 137,568.60, 206,352.90 and 97,710.53

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Solution

The fourth proportional to 137,568.60, 206,352.90 and 97,710.53 is: 146,565.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,568.60 : 206,352.90 = 97,710.53 : x
  2. Step 2: Convert to fraction form
    137,568.60/206,352.90 = 97,710.53/x
  3. Step 3: Cross multiply
    137,568.60x = 206,352.90 × 97,710.53
  4. Step 4: Simplify right side
    137,568.60x = 20,162,850,194.27
  5. Step 5: Solve for x
    x = 20,162,850,194.27/137,568.60
  6. Step 6: Final answer
    x = 146,565.79

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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.