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Finding the Fourth Proportional to 120,319.72, 180,657 and 67,115.65

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Solution

The fourth proportional to 120,319.72, 180,657 and 67,115.65 is: 100,772.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,319.72 : 180,657 = 67,115.65 : x
  2. Step 2: Convert to fraction form
    120,319.72/180,657 = 67,115.65/x
  3. Step 3: Cross multiply
    120,319.72x = 180,657 × 67,115.65
  4. Step 4: Simplify right side
    120,319.72x = 12,124,911,982.05
  5. Step 5: Solve for x
    x = 12,124,911,982.05/120,319.72
  6. Step 6: Final answer
    x = 100,772.44

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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.