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Finding the Fourth Proportional to 171,856.38, 257,723.05 and 59,506.43

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Solution

The fourth proportional to 171,856.38, 257,723.05 and 59,506.43 is: 89,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,856.38 : 257,723.05 = 59,506.43 : x
  2. Step 2: Convert to fraction form
    171,856.38/257,723.05 = 59,506.43/x
  3. Step 3: Cross multiply
    171,856.38x = 257,723.05 × 59,506.43
  4. Step 4: Simplify right side
    171,856.38x = 15,336,177,419.98
  5. Step 5: Solve for x
    x = 15,336,177,419.98/171,856.38
  6. Step 6: Final answer
    x = 89,238.34

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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.