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Finding the Fourth Proportional to 106,843.81, 160,206.55 and 43,708.29

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Solution

The fourth proportional to 106,843.81, 160,206.55 and 43,708.29 is: 65,538.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,843.81 : 160,206.55 = 43,708.29 : x
  2. Step 2: Convert to fraction form
    106,843.81/160,206.55 = 43,708.29/x
  3. Step 3: Cross multiply
    106,843.81x = 160,206.55 × 43,708.29
  4. Step 4: Simplify right side
    106,843.81x = 7,002,354,347.30
  5. Step 5: Solve for x
    x = 7,002,354,347.30/106,843.81
  6. Step 6: Final answer
    x = 65,538.23

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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.