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Finding the Fourth Proportional to 83,212.60, 114,591.52 and 72,306.16

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Solution

The fourth proportional to 83,212.60, 114,591.52 and 72,306.16 is: 99,572.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,212.60 : 114,591.52 = 72,306.16 : x
  2. Step 2: Convert to fraction form
    83,212.60/114,591.52 = 72,306.16/x
  3. Step 3: Cross multiply
    83,212.60x = 114,591.52 × 72,306.16
  4. Step 4: Simplify right side
    83,212.60x = 8,285,672,779.76
  5. Step 5: Solve for x
    x = 8,285,672,779.76/83,212.60
  6. Step 6: Final answer
    x = 99,572.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.