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Finding the Fourth Proportional to 150,406.72, 207,550.28 and 82,412.90

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Solution

The fourth proportional to 150,406.72, 207,550.28 and 82,412.90 is: 113,723.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,406.72 : 207,550.28 = 82,412.90 : x
  2. Step 2: Convert to fraction form
    150,406.72/207,550.28 = 82,412.90/x
  3. Step 3: Cross multiply
    150,406.72x = 207,550.28 × 82,412.90
  4. Step 4: Simplify right side
    150,406.72x = 17,104,820,470.61
  5. Step 5: Solve for x
    x = 17,104,820,470.61/150,406.72
  6. Step 6: Final answer
    x = 113,723.78

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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.