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Finding the Fourth Proportional to 172,842.29, 238,523.39 and 96,366.20

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Solution

The fourth proportional to 172,842.29, 238,523.39 and 96,366.20 is: 132,985.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,842.29 : 238,523.39 = 96,366.20 : x
  2. Step 2: Convert to fraction form
    172,842.29/238,523.39 = 96,366.20/x
  3. Step 3: Cross multiply
    172,842.29x = 238,523.39 × 96,366.20
  4. Step 4: Simplify right side
    172,842.29x = 22,985,591,030.97
  5. Step 5: Solve for x
    x = 22,985,591,030.97/172,842.29
  6. Step 6: Final answer
    x = 132,985.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.