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Finding the Fourth Proportional to 116,251.62, 160,385.94 and 75,988.60

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Solution

The fourth proportional to 116,251.62, 160,385.94 and 75,988.60 is: 104,837.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,251.62 : 160,385.94 = 75,988.60 : x
  2. Step 2: Convert to fraction form
    116,251.62/160,385.94 = 75,988.60/x
  3. Step 3: Cross multiply
    116,251.62x = 160,385.94 × 75,988.60
  4. Step 4: Simplify right side
    116,251.62x = 12,187,503,040.28
  5. Step 5: Solve for x
    x = 12,187,503,040.28/116,251.62
  6. Step 6: Final answer
    x = 104,837.27

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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.