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Finding the Fourth Proportional to 106,881.96, 160,321.32 and 36,761.88

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Solution

The fourth proportional to 106,881.96, 160,321.32 and 36,761.88 is: 55,142.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,881.96 : 160,321.32 = 36,761.88 : x
  2. Step 2: Convert to fraction form
    106,881.96/160,321.32 = 36,761.88/x
  3. Step 3: Cross multiply
    106,881.96x = 160,321.32 × 36,761.88
  4. Step 4: Simplify right side
    106,881.96x = 5,893,713,127.28
  5. Step 5: Solve for x
    x = 5,893,713,127.28/106,881.96
  6. Step 6: Final answer
    x = 55,142.26

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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.