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Finding the Fourth Proportional to 172,685.71, 238,301.02 and 96,204.77

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Solution

The fourth proportional to 172,685.71, 238,301.02 and 96,204.77 is: 132,759.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,685.71 : 238,301.02 = 96,204.77 : x
  2. Step 2: Convert to fraction form
    172,685.71/238,301.02 = 96,204.77/x
  3. Step 3: Cross multiply
    172,685.71x = 238,301.02 × 96,204.77
  4. Step 4: Simplify right side
    172,685.71x = 22,925,694,819.87
  5. Step 5: Solve for x
    x = 22,925,694,819.87/172,685.71
  6. Step 6: Final answer
    x = 132,759.65

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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.