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Finding the Fourth Proportional to 138,783, 191,520.57 and 75,121.32

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Solution

The fourth proportional to 138,783, 191,520.57 and 75,121.32 is: 103,667.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,783 : 191,520.57 = 75,121.32 : x
  2. Step 2: Convert to fraction form
    138,783/191,520.57 = 75,121.32/x
  3. Step 3: Cross multiply
    138,783x = 191,520.57 × 75,121.32
  4. Step 4: Simplify right side
    138,783x = 14,387,278,025.55
  5. Step 5: Solve for x
    x = 14,387,278,025.55/138,783
  6. Step 6: Final answer
    x = 103,667.44

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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.