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Finding the Fourth Proportional to 253,948.68, 350,425.62 and 140,761.80

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Solution

The fourth proportional to 253,948.68, 350,425.62 and 140,761.80 is: 194,238.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,948.68 : 350,425.62 = 140,761.80 : x
  2. Step 2: Convert to fraction form
    253,948.68/350,425.62 = 140,761.80/x
  3. Step 3: Cross multiply
    253,948.68x = 350,425.62 × 140,761.80
  4. Step 4: Simplify right side
    253,948.68x = 49,326,541,037.32
  5. Step 5: Solve for x
    x = 49,326,541,037.32/253,948.68
  6. Step 6: Final answer
    x = 194,238.23

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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.