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Finding the Fourth Proportional to 146,463.38, 202,128.18 and 82,807.10

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Solution

The fourth proportional to 146,463.38, 202,128.18 and 82,807.10 is: 114,278.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,463.38 : 202,128.18 = 82,807.10 : x
  2. Step 2: Convert to fraction form
    146,463.38/202,128.18 = 82,807.10/x
  3. Step 3: Cross multiply
    146,463.38x = 202,128.18 × 82,807.10
  4. Step 4: Simplify right side
    146,463.38x = 16,737,648,414.08
  5. Step 5: Solve for x
    x = 16,737,648,414.08/146,463.38
  6. Step 6: Final answer
    x = 114,278.73

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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.