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Finding the Fourth Proportional to 121,540.60, 182,310.09 and 65,407.12

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Solution

The fourth proportional to 121,540.60, 182,310.09 and 65,407.12 is: 98,110.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,540.60 : 182,310.09 = 65,407.12 : x
  2. Step 2: Convert to fraction form
    121,540.60/182,310.09 = 65,407.12/x
  3. Step 3: Cross multiply
    121,540.60x = 182,310.09 × 65,407.12
  4. Step 4: Simplify right side
    121,540.60x = 11,924,377,933.84
  5. Step 5: Solve for x
    x = 11,924,377,933.84/121,540.60
  6. Step 6: Final answer
    x = 98,110.24

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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.