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Finding the Fourth Proportional to 138,812.50, 191,562.24 and 75,150.46

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Solution

The fourth proportional to 138,812.50, 191,562.24 and 75,150.46 is: 103,708.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,812.50 : 191,562.24 = 75,150.46 : x
  2. Step 2: Convert to fraction form
    138,812.50/191,562.24 = 75,150.46/x
  3. Step 3: Cross multiply
    138,812.50x = 191,562.24 × 75,150.46
  4. Step 4: Simplify right side
    138,812.50x = 14,395,990,454.63
  5. Step 5: Solve for x
    x = 14,395,990,454.63/138,812.50
  6. Step 6: Final answer
    x = 103,708.17

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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.