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Finding the Fourth Proportional to 145,393.38, 200,642.67 and 81,731.43

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Solution

The fourth proportional to 145,393.38, 200,642.67 and 81,731.43 is: 112,789.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,393.38 : 200,642.67 = 81,731.43 : x
  2. Step 2: Convert to fraction form
    145,393.38/200,642.67 = 81,731.43/x
  3. Step 3: Cross multiply
    145,393.38x = 200,642.67 × 81,731.43
  4. Step 4: Simplify right side
    145,393.38x = 16,398,812,338.12
  5. Step 5: Solve for x
    x = 16,398,812,338.12/145,393.38
  6. Step 6: Final answer
    x = 112,789.26

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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.