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Finding the Fourth Proportional to 121,883.20, 182,468.40 and 86,891.20

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Solution

The fourth proportional to 121,883.20, 182,468.40 and 86,891.20 is: 130,082.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,883.20 : 182,468.40 = 86,891.20 : x
  2. Step 2: Convert to fraction form
    121,883.20/182,468.40 = 86,891.20/x
  3. Step 3: Cross multiply
    121,883.20x = 182,468.40 × 86,891.20
  4. Step 4: Simplify right side
    121,883.20x = 15,854,898,238.08
  5. Step 5: Solve for x
    x = 15,854,898,238.08/121,883.20
  6. Step 6: Final answer
    x = 130,082.72

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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.