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Finding the Fourth Proportional to 172,806.71, 238,487.09 and 96,350.58

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Solution

The fourth proportional to 172,806.71, 238,487.09 and 96,350.58 is: 132,971.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,806.71 : 238,487.09 = 96,350.58 : x
  2. Step 2: Convert to fraction form
    172,806.71/238,487.09 = 96,350.58/x
  3. Step 3: Cross multiply
    172,806.71x = 238,487.09 × 96,350.58
  4. Step 4: Simplify right side
    172,806.71x = 22,978,368,962.26
  5. Step 5: Solve for x
    x = 22,978,368,962.26/172,806.71
  6. Step 6: Final answer
    x = 132,971.51

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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.