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Finding the Fourth Proportional to 120,224.30, 180,188.76 and 67,523

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Solution

The fourth proportional to 120,224.30, 180,188.76 and 67,523 is: 101,201.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,224.30 : 180,188.76 = 67,523 : x
  2. Step 2: Convert to fraction form
    120,224.30/180,188.76 = 67,523/x
  3. Step 3: Cross multiply
    120,224.30x = 180,188.76 × 67,523
  4. Step 4: Simplify right side
    120,224.30x = 12,166,885,641.48
  5. Step 5: Solve for x
    x = 12,166,885,641.48/120,224.30
  6. Step 6: Final answer
    x = 101,201.55

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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.