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Finding the Fourth Proportional to 107,200.80, 147,766.56 and 84,502.96

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Solution

The fourth proportional to 107,200.80, 147,766.56 and 84,502.96 is: 116,479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,200.80 : 147,766.56 = 84,502.96 : x
  2. Step 2: Convert to fraction form
    107,200.80/147,766.56 = 84,502.96/x
  3. Step 3: Cross multiply
    107,200.80x = 147,766.56 × 84,502.96
  4. Step 4: Simplify right side
    107,200.80x = 12,486,711,709.02
  5. Step 5: Solve for x
    x = 12,486,711,709.02/107,200.80
  6. Step 6: Final answer
    x = 116,479.65

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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.