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Finding the Fourth Proportional to 146,462.38, 202,126.80 and 82,806.10

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Solution

The fourth proportional to 146,462.38, 202,126.80 and 82,806.10 is: 114,277.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,462.38 : 202,126.80 = 82,806.10 : x
  2. Step 2: Convert to fraction form
    146,462.38/202,126.80 = 82,806.10/x
  3. Step 3: Cross multiply
    146,462.38x = 202,126.80 × 82,806.10
  4. Step 4: Simplify right side
    146,462.38x = 16,737,332,013.48
  5. Step 5: Solve for x
    x = 16,737,332,013.48/146,462.38
  6. Step 6: Final answer
    x = 114,277.35

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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.