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Finding the Fourth Proportional to 148,875.76, 205,449.36 and 80,893.27

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Solution

The fourth proportional to 148,875.76, 205,449.36 and 80,893.27 is: 111,633.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,875.76 : 205,449.36 = 80,893.27 : x
  2. Step 2: Convert to fraction form
    148,875.76/205,449.36 = 80,893.27/x
  3. Step 3: Cross multiply
    148,875.76x = 205,449.36 × 80,893.27
  4. Step 4: Simplify right side
    148,875.76x = 16,619,469,522.56
  5. Step 5: Solve for x
    x = 16,619,469,522.56/148,875.76
  6. Step 6: Final answer
    x = 111,633.15

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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.