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Finding the Fourth Proportional to 106,251.80, 159,326.88 and 61,891.22

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Solution

The fourth proportional to 106,251.80, 159,326.88 and 61,891.22 is: 92,807.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,251.80 : 159,326.88 = 61,891.22 : x
  2. Step 2: Convert to fraction form
    106,251.80/159,326.88 = 61,891.22/x
  3. Step 3: Cross multiply
    106,251.80x = 159,326.88 × 61,891.22
  4. Step 4: Simplify right side
    106,251.80x = 9,860,934,981.99
  5. Step 5: Solve for x
    x = 9,860,934,981.99/106,251.80
  6. Step 6: Final answer
    x = 92,807.23

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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.