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Finding the Fourth Proportional to 150,614.40, 225,921.60 and 38,294.40

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Solution

The fourth proportional to 150,614.40, 225,921.60 and 38,294.40 is: 57,441.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,614.40 : 225,921.60 = 38,294.40 : x
  2. Step 2: Convert to fraction form
    150,614.40/225,921.60 = 38,294.40/x
  3. Step 3: Cross multiply
    150,614.40x = 225,921.60 × 38,294.40
  4. Step 4: Simplify right side
    150,614.40x = 8,651,532,119.04
  5. Step 5: Solve for x
    x = 8,651,532,119.04/150,614.40
  6. Step 6: Final answer
    x = 57,441.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.