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Finding the Fourth Proportional to 148,644.14, 205,127.87 and 80,659.38

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Solution

The fourth proportional to 148,644.14, 205,127.87 and 80,659.38 is: 111,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,644.14 : 205,127.87 = 80,659.38 : x
  2. Step 2: Convert to fraction form
    148,644.14/205,127.87 = 80,659.38/x
  3. Step 3: Cross multiply
    148,644.14x = 205,127.87 × 80,659.38
  4. Step 4: Simplify right side
    148,644.14x = 16,545,486,411.62
  5. Step 5: Solve for x
    x = 16,545,486,411.62/148,644.14
  6. Step 6: Final answer
    x = 111,309.38

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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.