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Finding the Fourth Proportional to 149,385.50, 224,078.70 and 38,577.50

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Solution

The fourth proportional to 149,385.50, 224,078.70 and 38,577.50 is: 57,866.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,385.50 : 224,078.70 = 38,577.50 : x
  2. Step 2: Convert to fraction form
    149,385.50/224,078.70 = 38,577.50/x
  3. Step 3: Cross multiply
    149,385.50x = 224,078.70 × 38,577.50
  4. Step 4: Simplify right side
    149,385.50x = 8,644,396,049.25
  5. Step 5: Solve for x
    x = 8,644,396,049.25/149,385.50
  6. Step 6: Final answer
    x = 57,866.37

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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.