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Finding the Fourth Proportional to 148,123.85, 204,414.50 and 84,462.71

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Solution

The fourth proportional to 148,123.85, 204,414.50 and 84,462.71 is: 116,560.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,123.85 : 204,414.50 = 84,462.71 : x
  2. Step 2: Convert to fraction form
    148,123.85/204,414.50 = 84,462.71/x
  3. Step 3: Cross multiply
    148,123.85x = 204,414.50 × 84,462.71
  4. Step 4: Simplify right side
    148,123.85x = 17,265,401,822.38
  5. Step 5: Solve for x
    x = 17,265,401,822.38/148,123.85
  6. Step 6: Final answer
    x = 116,560.58

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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.