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Finding the Fourth Proportional to 257,319.36, 354,657.38 and 171,124.29

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Solution

The fourth proportional to 257,319.36, 354,657.38 and 171,124.29 is: 235,856.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,319.36 : 354,657.38 = 171,124.29 : x
  2. Step 2: Convert to fraction form
    257,319.36/354,657.38 = 171,124.29/x
  3. Step 3: Cross multiply
    257,319.36x = 354,657.38 × 171,124.29
  4. Step 4: Simplify right side
    257,319.36x = 60,690,491,490.14
  5. Step 5: Solve for x
    x = 60,690,491,490.14/257,319.36
  6. Step 6: Final answer
    x = 235,856.69

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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.