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Finding the Fourth Proportional to 81,410.60, 122,115.90 and 75,708.20

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Solution

The fourth proportional to 81,410.60, 122,115.90 and 75,708.20 is: 113,562.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,410.60 : 122,115.90 = 75,708.20 : x
  2. Step 2: Convert to fraction form
    81,410.60/122,115.90 = 75,708.20/x
  3. Step 3: Cross multiply
    81,410.60x = 122,115.90 × 75,708.20
  4. Step 4: Simplify right side
    81,410.60x = 9,245,174,980.38
  5. Step 5: Solve for x
    x = 9,245,174,980.38/81,410.60
  6. Step 6: Final answer
    x = 113,562.30

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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.