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Finding the Fourth Proportional to 120,418.61, 180,562.16 and 95,617.97

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Solution

The fourth proportional to 120,418.61, 180,562.16 and 95,617.97 is: 143,374.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,418.61 : 180,562.16 = 95,617.97 : x
  2. Step 2: Convert to fraction form
    120,418.61/180,562.16 = 95,617.97/x
  3. Step 3: Cross multiply
    120,418.61x = 180,562.16 × 95,617.97
  4. Step 4: Simplify right side
    120,418.61x = 17,264,986,719.93
  5. Step 5: Solve for x
    x = 17,264,986,719.93/120,418.61
  6. Step 6: Final answer
    x = 143,374.74

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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.