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Finding the Fourth Proportional to 173,891.49, 239,965.68 and 102,275.91

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Solution

The fourth proportional to 173,891.49, 239,965.68 and 102,275.91 is: 141,138.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,891.49 : 239,965.68 = 102,275.91 : x
  2. Step 2: Convert to fraction form
    173,891.49/239,965.68 = 102,275.91/x
  3. Step 3: Cross multiply
    173,891.49x = 239,965.68 × 102,275.91
  4. Step 4: Simplify right side
    173,891.49x = 24,542,708,290.77
  5. Step 5: Solve for x
    x = 24,542,708,290.77/173,891.49
  6. Step 6: Final answer
    x = 141,138.06

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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.