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Finding the Fourth Proportional to 149,352.90, 224,029.35 and 133,023.30

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Solution

The fourth proportional to 149,352.90, 224,029.35 and 133,023.30 is: 199,534.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,352.90 : 224,029.35 = 133,023.30 : x
  2. Step 2: Convert to fraction form
    149,352.90/224,029.35 = 133,023.30/x
  3. Step 3: Cross multiply
    149,352.90x = 224,029.35 × 133,023.30
  4. Step 4: Simplify right side
    149,352.90x = 29,801,123,433.86
  5. Step 5: Solve for x
    x = 29,801,123,433.86/149,352.90
  6. Step 6: Final answer
    x = 199,534.95

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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.