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Finding the Fourth Proportional to 120,385.93, 180,480.33 and 45,463.54

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Solution

The fourth proportional to 120,385.93, 180,480.33 and 45,463.54 is: 68,158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,385.93 : 180,480.33 = 45,463.54 : x
  2. Step 2: Convert to fraction form
    120,385.93/180,480.33 = 45,463.54/x
  3. Step 3: Cross multiply
    120,385.93x = 180,480.33 × 45,463.54
  4. Step 4: Simplify right side
    120,385.93x = 8,205,274,702.17
  5. Step 5: Solve for x
    x = 8,205,274,702.17/120,385.93
  6. Step 6: Final answer
    x = 68,158.09

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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.