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Finding the Fourth Proportional to 253,564.38, 380,539.31 and 93,791.48

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Solution

The fourth proportional to 253,564.38, 380,539.31 and 93,791.48 is: 140,758.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,564.38 : 380,539.31 = 93,791.48 : x
  2. Step 2: Convert to fraction form
    253,564.38/380,539.31 = 93,791.48/x
  3. Step 3: Cross multiply
    253,564.38x = 380,539.31 × 93,791.48
  4. Step 4: Simplify right side
    253,564.38x = 35,691,342,711.42
  5. Step 5: Solve for x
    x = 35,691,342,711.42/253,564.38
  6. Step 6: Final answer
    x = 140,758.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.