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Finding the Fourth Proportional to 100,546.87, 138,739.24 and 58,097.20

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Solution

The fourth proportional to 100,546.87, 138,739.24 and 58,097.20 is: 80,165.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,546.87 : 138,739.24 = 58,097.20 : x
  2. Step 2: Convert to fraction form
    100,546.87/138,739.24 = 58,097.20/x
  3. Step 3: Cross multiply
    100,546.87x = 138,739.24 × 58,097.20
  4. Step 4: Simplify right side
    100,546.87x = 8,060,361,374.13
  5. Step 5: Solve for x
    x = 8,060,361,374.13/100,546.87
  6. Step 6: Final answer
    x = 80,165.21

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Why These Related Problems?

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