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Finding the Fourth Proportional to 106,776.11, 160,178.88 and 36,646.31

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Solution

The fourth proportional to 106,776.11, 160,178.88 and 36,646.31 is: 54,974.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,776.11 : 160,178.88 = 36,646.31 : x
  2. Step 2: Convert to fraction form
    106,776.11/160,178.88 = 36,646.31/x
  3. Step 3: Cross multiply
    106,776.11x = 160,178.88 × 36,646.31
  4. Step 4: Simplify right side
    106,776.11x = 5,869,964,891.93
  5. Step 5: Solve for x
    x = 5,869,964,891.93/106,776.11
  6. Step 6: Final answer
    x = 54,974.52

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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.