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Finding the Fourth Proportional to 120,320.72, 180,658.50 and 67,116.65

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Solution

The fourth proportional to 120,320.72, 180,658.50 and 67,116.65 is: 100,773.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,320.72 : 180,658.50 = 67,116.65 : x
  2. Step 2: Convert to fraction form
    120,320.72/180,658.50 = 67,116.65/x
  3. Step 3: Cross multiply
    120,320.72x = 180,658.50 × 67,116.65
  4. Step 4: Simplify right side
    120,320.72x = 12,125,193,314.03
  5. Step 5: Solve for x
    x = 12,125,193,314.03/120,320.72
  6. Step 6: Final answer
    x = 100,773.94

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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.