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Finding the Fourth Proportional to 253,744.41, 350,178.68 and 140,559.87

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Solution

The fourth proportional to 253,744.41, 350,178.68 and 140,559.87 is: 193,978.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,744.41 : 350,178.68 = 140,559.87 : x
  2. Step 2: Convert to fraction form
    253,744.41/350,178.68 = 140,559.87/x
  3. Step 3: Cross multiply
    253,744.41x = 350,178.68 × 140,559.87
  4. Step 4: Simplify right side
    253,744.41x = 49,221,069,034.77
  5. Step 5: Solve for x
    x = 49,221,069,034.77/253,744.41
  6. Step 6: Final answer
    x = 193,978.93

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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.