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Finding the Fourth Proportional to 106,859.46, 160,229.91 and 43,723.89

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Solution

The fourth proportional to 106,859.46, 160,229.91 and 43,723.89 is: 65,561.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,859.46 : 160,229.91 = 43,723.89 : x
  2. Step 2: Convert to fraction form
    106,859.46/160,229.91 = 43,723.89/x
  3. Step 3: Cross multiply
    106,859.46x = 160,229.91 × 43,723.89
  4. Step 4: Simplify right side
    106,859.46x = 7,005,874,959.55
  5. Step 5: Solve for x
    x = 7,005,874,959.55/106,859.46
  6. Step 6: Final answer
    x = 65,561.58

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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.