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Finding the Fourth Proportional to 140,565.60, 193,981.96 and 76,902

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Solution

The fourth proportional to 140,565.60, 193,981.96 and 76,902 is: 106,125.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,565.60 : 193,981.96 = 76,902 : x
  2. Step 2: Convert to fraction form
    140,565.60/193,981.96 = 76,902/x
  3. Step 3: Cross multiply
    140,565.60x = 193,981.96 × 76,902
  4. Step 4: Simplify right side
    140,565.60x = 14,917,600,687.92
  5. Step 5: Solve for x
    x = 14,917,600,687.92/140,565.60
  6. Step 6: Final answer
    x = 106,125.54

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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.