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Finding the Fourth Proportional to 121,407.71, 182,164.13 and 65,182.22

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Solution

The fourth proportional to 121,407.71, 182,164.13 and 65,182.22 is: 97,801.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,407.71 : 182,164.13 = 65,182.22 : x
  2. Step 2: Convert to fraction form
    121,407.71/182,164.13 = 65,182.22/x
  3. Step 3: Cross multiply
    121,407.71x = 182,164.13 × 65,182.22
  4. Step 4: Simplify right side
    121,407.71x = 11,873,861,649.90
  5. Step 5: Solve for x
    x = 11,873,861,649.90/121,407.71
  6. Step 6: Final answer
    x = 97,801.55

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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.