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Finding the Fourth Proportional to 257,176.96, 354,891.87 and 142,447.86

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Solution

The fourth proportional to 257,176.96, 354,891.87 and 142,447.86 is: 196,571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,176.96 : 354,891.87 = 142,447.86 : x
  2. Step 2: Convert to fraction form
    257,176.96/354,891.87 = 142,447.86/x
  3. Step 3: Cross multiply
    257,176.96x = 354,891.87 × 142,447.86
  4. Step 4: Simplify right side
    257,176.96x = 50,553,587,412.90
  5. Step 5: Solve for x
    x = 50,553,587,412.90/257,176.96
  6. Step 6: Final answer
    x = 196,571.22

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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.