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Finding the Fourth Proportional to 148,377, 204,760.50 and 80,393.96

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Solution

The fourth proportional to 148,377, 204,760.50 and 80,393.96 is: 110,943.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,377 : 204,760.50 = 80,393.96 : x
  2. Step 2: Convert to fraction form
    148,377/204,760.50 = 80,393.96/x
  3. Step 3: Cross multiply
    148,377x = 204,760.50 × 80,393.96
  4. Step 4: Simplify right side
    148,377x = 16,461,507,446.58
  5. Step 5: Solve for x
    x = 16,461,507,446.58/148,377
  6. Step 6: Final answer
    x = 110,943.79

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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.