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Finding the Fourth Proportional to 265,764.80, 398,608.24 and 88,267.84

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Solution

The fourth proportional to 265,764.80, 398,608.24 and 88,267.84 is: 132,388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,764.80 : 398,608.24 = 88,267.84 : x
  2. Step 2: Convert to fraction form
    265,764.80/398,608.24 = 88,267.84/x
  3. Step 3: Cross multiply
    265,764.80x = 398,608.24 × 88,267.84
  4. Step 4: Simplify right side
    265,764.80x = 35,184,288,351.00
  5. Step 5: Solve for x
    x = 35,184,288,351.00/265,764.80
  6. Step 6: Final answer
    x = 132,388.82

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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.