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Finding the Fourth Proportional to 187,873.97, 259,282.49 and 103,007.44

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Solution

The fourth proportional to 187,873.97, 259,282.49 and 103,007.44 is: 142,159.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,873.97 : 259,282.49 = 103,007.44 : x
  2. Step 2: Convert to fraction form
    187,873.97/259,282.49 = 103,007.44/x
  3. Step 3: Cross multiply
    187,873.97x = 259,282.49 × 103,007.44
  4. Step 4: Simplify right side
    187,873.97x = 26,708,023,882.33
  5. Step 5: Solve for x
    x = 26,708,023,882.33/187,873.97
  6. Step 6: Final answer
    x = 142,159.26

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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.