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Finding the Fourth Proportional to 116,542.84, 160,841.56 and 68,159.56

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Solution

The fourth proportional to 116,542.84, 160,841.56 and 68,159.56 is: 94,067.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,542.84 : 160,841.56 = 68,159.56 : x
  2. Step 2: Convert to fraction form
    116,542.84/160,841.56 = 68,159.56/x
  3. Step 3: Cross multiply
    116,542.84x = 160,841.56 × 68,159.56
  4. Step 4: Simplify right side
    116,542.84x = 10,962,890,191.02
  5. Step 5: Solve for x
    x = 10,962,890,191.02/116,542.84
  6. Step 6: Final answer
    x = 94,067.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.