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Finding the Fourth Proportional to 172,862.56, 259,293.78 and 41,534.56

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Solution

The fourth proportional to 172,862.56, 259,293.78 and 41,534.56 is: 62,301.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,862.56 : 259,293.78 = 41,534.56 : x
  2. Step 2: Convert to fraction form
    172,862.56/259,293.78 = 41,534.56/x
  3. Step 3: Cross multiply
    172,862.56x = 259,293.78 × 41,534.56
  4. Step 4: Simplify right side
    172,862.56x = 10,769,653,063.04
  5. Step 5: Solve for x
    x = 10,769,653,063.04/172,862.56
  6. Step 6: Final answer
    x = 62,301.83

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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.