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Finding the Fourth Proportional to 83,158.38, 114,879.99 and 71,960.94

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Solution

The fourth proportional to 83,158.38, 114,879.99 and 71,960.94 is: 99,411.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,158.38 : 114,879.99 = 71,960.94 : x
  2. Step 2: Convert to fraction form
    83,158.38/114,879.99 = 71,960.94/x
  3. Step 3: Cross multiply
    83,158.38x = 114,879.99 × 71,960.94
  4. Step 4: Simplify right side
    83,158.38x = 8,266,872,067.59
  5. Step 5: Solve for x
    x = 8,266,872,067.59/83,158.38
  6. Step 6: Final answer
    x = 99,411.17

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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.