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Finding the Fourth Proportional to 116,542.59, 160,841.21 and 68,159.31

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Solution

The fourth proportional to 116,542.59, 160,841.21 and 68,159.31 is: 94,067.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,542.59 : 160,841.21 = 68,159.31 : x
  2. Step 2: Convert to fraction form
    116,542.59/160,841.21 = 68,159.31/x
  3. Step 3: Cross multiply
    116,542.59x = 160,841.21 × 68,159.31
  4. Step 4: Simplify right side
    116,542.59x = 10,962,826,465.67
  5. Step 5: Solve for x
    x = 10,962,826,465.67/116,542.59
  6. Step 6: Final answer
    x = 94,067.12

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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.