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Finding the Fourth Proportional to 257,456.63, 355,301.38 and 142,727.97

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Solution

The fourth proportional to 257,456.63, 355,301.38 and 142,727.97 is: 196,970.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,456.63 : 355,301.38 = 142,727.97 : x
  2. Step 2: Convert to fraction form
    257,456.63/355,301.38 = 142,727.97/x
  3. Step 3: Cross multiply
    257,456.63x = 355,301.38 × 142,727.97
  4. Step 4: Simplify right side
    257,456.63x = 50,711,444,348.78
  5. Step 5: Solve for x
    x = 50,711,444,348.78/257,456.63
  6. Step 6: Final answer
    x = 196,970.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.