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Finding the Fourth Proportional to 158,839.92, 219,248.28 and 102,251.25

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Solution

The fourth proportional to 158,839.92, 219,248.28 and 102,251.25 is: 141,138.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,839.92 : 219,248.28 = 102,251.25 : x
  2. Step 2: Convert to fraction form
    158,839.92/219,248.28 = 102,251.25/x
  3. Step 3: Cross multiply
    158,839.92x = 219,248.28 × 102,251.25
  4. Step 4: Simplify right side
    158,839.92x = 22,418,410,690.35
  5. Step 5: Solve for x
    x = 22,418,410,690.35/158,839.92
  6. Step 6: Final answer
    x = 141,138.39

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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.