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Finding the Fourth Proportional to 150,209.40, 225,343.26 and 45,019.56

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Solution

The fourth proportional to 150,209.40, 225,343.26 and 45,019.56 is: 67,538.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,209.40 : 225,343.26 = 45,019.56 : x
  2. Step 2: Convert to fraction form
    150,209.40/225,343.26 = 45,019.56/x
  3. Step 3: Cross multiply
    150,209.40x = 225,343.26 × 45,019.56
  4. Step 4: Simplify right side
    150,209.40x = 10,144,854,414.17
  5. Step 5: Solve for x
    x = 10,144,854,414.17/150,209.40
  6. Step 6: Final answer
    x = 67,538.08

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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.