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Finding the Fourth Proportional to 150,614.60, 225,857.10 and 75,705.80

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Solution

The fourth proportional to 150,614.60, 225,857.10 and 75,705.80 is: 113,526.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,614.60 : 225,857.10 = 75,705.80 : x
  2. Step 2: Convert to fraction form
    150,614.60/225,857.10 = 75,705.80/x
  3. Step 3: Cross multiply
    150,614.60x = 225,857.10 × 75,705.80
  4. Step 4: Simplify right side
    150,614.60x = 17,098,692,441.18
  5. Step 5: Solve for x
    x = 17,098,692,441.18/150,614.60
  6. Step 6: Final answer
    x = 113,526.13

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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.