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Finding the Fourth Proportional to 116,077.20, 174,115.80 and 86,552.70

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Solution

The fourth proportional to 116,077.20, 174,115.80 and 86,552.70 is: 129,829.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,077.20 : 174,115.80 = 86,552.70 : x
  2. Step 2: Convert to fraction form
    116,077.20/174,115.80 = 86,552.70/x
  3. Step 3: Cross multiply
    116,077.20x = 174,115.80 × 86,552.70
  4. Step 4: Simplify right side
    116,077.20x = 15,070,192,602.66
  5. Step 5: Solve for x
    x = 15,070,192,602.66/116,077.20
  6. Step 6: Final answer
    x = 129,829.05

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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.