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Finding the Fourth Proportional to 172,151.33, 258,227.19 and 53,823.29

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Solution

The fourth proportional to 172,151.33, 258,227.19 and 53,823.29 is: 80,734.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,151.33 : 258,227.19 = 53,823.29 : x
  2. Step 2: Convert to fraction form
    172,151.33/258,227.19 = 53,823.29/x
  3. Step 3: Cross multiply
    172,151.33x = 258,227.19 × 53,823.29
  4. Step 4: Simplify right side
    172,151.33x = 13,898,635,642.12
  5. Step 5: Solve for x
    x = 13,898,635,642.12/172,151.33
  6. Step 6: Final answer
    x = 80,734.99

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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.