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Finding the Fourth Proportional to 148,885.80, 205,462.02 and 80,902.78

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Solution

The fourth proportional to 148,885.80, 205,462.02 and 80,902.78 is: 111,645.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,885.80 : 205,462.02 = 80,902.78 : x
  2. Step 2: Convert to fraction form
    148,885.80/205,462.02 = 80,902.78/x
  3. Step 3: Cross multiply
    148,885.80x = 205,462.02 × 80,902.78
  4. Step 4: Simplify right side
    148,885.80x = 16,622,448,602.42
  5. Step 5: Solve for x
    x = 16,622,448,602.42/148,885.80
  6. Step 6: Final answer
    x = 111,645.63

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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.