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Finding the Fourth Proportional to 106,808.59, 160,221.99 and 27,922.69

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Solution

The fourth proportional to 106,808.59, 160,221.99 and 27,922.69 is: 41,886.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,808.59 : 160,221.99 = 27,922.69 : x
  2. Step 2: Convert to fraction form
    106,808.59/160,221.99 = 27,922.69/x
  3. Step 3: Cross multiply
    106,808.59x = 160,221.99 × 27,922.69
  4. Step 4: Simplify right side
    106,808.59x = 4,473,828,957.95
  5. Step 5: Solve for x
    x = 4,473,828,957.95/106,808.59
  6. Step 6: Final answer
    x = 41,886.42

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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.