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Finding the Fourth Proportional to 121,567.64, 182,672.18 and 65,449.24

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Solution

The fourth proportional to 121,567.64, 182,672.18 and 65,449.24 is: 98,346.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,567.64 : 182,672.18 = 65,449.24 : x
  2. Step 2: Convert to fraction form
    121,567.64/182,672.18 = 65,449.24/x
  3. Step 3: Cross multiply
    121,567.64x = 182,672.18 × 65,449.24
  4. Step 4: Simplify right side
    121,567.64x = 11,955,755,350.14
  5. Step 5: Solve for x
    x = 11,955,755,350.14/121,567.64
  6. Step 6: Final answer
    x = 98,346.53

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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.