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Finding the Fourth Proportional to 125,678.80, 188,498.64 and 81,617.92

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Solution

The fourth proportional to 125,678.80, 188,498.64 and 81,617.92 is: 122,414.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,678.80 : 188,498.64 = 81,617.92 : x
  2. Step 2: Convert to fraction form
    125,678.80/188,498.64 = 81,617.92/x
  3. Step 3: Cross multiply
    125,678.80x = 188,498.64 × 81,617.92
  4. Step 4: Simplify right side
    125,678.80x = 15,384,866,919.63
  5. Step 5: Solve for x
    x = 15,384,866,919.63/125,678.80
  6. Step 6: Final answer
    x = 122,414.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.