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Finding the Fourth Proportional to 120,377.72, 180,529.14 and 40,400.12

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Solution

The fourth proportional to 120,377.72, 180,529.14 and 40,400.12 is: 60,587.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,377.72 : 180,529.14 = 40,400.12 : x
  2. Step 2: Convert to fraction form
    120,377.72/180,529.14 = 40,400.12/x
  3. Step 3: Cross multiply
    120,377.72x = 180,529.14 × 40,400.12
  4. Step 4: Simplify right side
    120,377.72x = 7,293,398,919.50
  5. Step 5: Solve for x
    x = 7,293,398,919.50/120,377.72
  6. Step 6: Final answer
    x = 60,587.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.