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Finding the Fourth Proportional to 148,647.80, 205,132.92 and 80,663.04

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Solution

The fourth proportional to 148,647.80, 205,132.92 and 80,663.04 is: 111,314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,647.80 : 205,132.92 = 80,663.04 : x
  2. Step 2: Convert to fraction form
    148,647.80/205,132.92 = 80,663.04/x
  3. Step 3: Cross multiply
    148,647.80x = 205,132.92 × 80,663.04
  4. Step 4: Simplify right side
    148,647.80x = 16,546,644,931.28
  5. Step 5: Solve for x
    x = 16,546,644,931.28/148,647.80
  6. Step 6: Final answer
    x = 111,314.43

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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.