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Finding the Fourth Proportional to 106,842.98, 160,205.27 and 43,707.39

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Solution

The fourth proportional to 106,842.98, 160,205.27 and 43,707.39 is: 65,536.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,842.98 : 160,205.27 = 43,707.39 : x
  2. Step 2: Convert to fraction form
    106,842.98/160,205.27 = 43,707.39/x
  3. Step 3: Cross multiply
    106,842.98x = 160,205.27 × 43,707.39
  4. Step 4: Simplify right side
    106,842.98x = 7,002,153,997.41
  5. Step 5: Solve for x
    x = 7,002,153,997.41/106,842.98
  6. Step 6: Final answer
    x = 65,536.87

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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.