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Finding the Fourth Proportional to 106,801.92, 160,193.16 and 27,914.40

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Solution

The fourth proportional to 106,801.92, 160,193.16 and 27,914.40 is: 41,869.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,801.92 : 160,193.16 = 27,914.40 : x
  2. Step 2: Convert to fraction form
    106,801.92/160,193.16 = 27,914.40/x
  3. Step 3: Cross multiply
    106,801.92x = 160,193.16 × 27,914.40
  4. Step 4: Simplify right side
    106,801.92x = 4,471,695,945.50
  5. Step 5: Solve for x
    x = 4,471,695,945.50/106,801.92
  6. Step 6: Final answer
    x = 41,869.06

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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.