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Finding the Fourth Proportional to 148,693.10, 205,197.03 and 80,710.20

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Solution

The fourth proportional to 148,693.10, 205,197.03 and 80,710.20 is: 111,380.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,693.10 : 205,197.03 = 80,710.20 : x
  2. Step 2: Convert to fraction form
    148,693.10/205,197.03 = 80,710.20/x
  3. Step 3: Cross multiply
    148,693.10x = 205,197.03 × 80,710.20
  4. Step 4: Simplify right side
    148,693.10x = 16,561,493,330.71
  5. Step 5: Solve for x
    x = 16,561,493,330.71/148,693.10
  6. Step 6: Final answer
    x = 111,380.38

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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.