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Finding the Fourth Proportional to 177,311.80, 265,751.70 and 77,260.60

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Solution

The fourth proportional to 177,311.80, 265,751.70 and 77,260.60 is: 115,796.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,311.80 : 265,751.70 = 77,260.60 : x
  2. Step 2: Convert to fraction form
    177,311.80/265,751.70 = 77,260.60/x
  3. Step 3: Cross multiply
    177,311.80x = 265,751.70 × 77,260.60
  4. Step 4: Simplify right side
    177,311.80x = 20,532,135,793.02
  5. Step 5: Solve for x
    x = 20,532,135,793.02/177,311.80
  6. Step 6: Final answer
    x = 115,796.78

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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.