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Finding the Fourth Proportional to 225,716.16, 338,618.48 and 83,562.60

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Solution

The fourth proportional to 225,716.16, 338,618.48 and 83,562.60 is: 125,360.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,716.16 : 338,618.48 = 83,562.60 : x
  2. Step 2: Convert to fraction form
    225,716.16/338,618.48 = 83,562.60/x
  3. Step 3: Cross multiply
    225,716.16x = 338,618.48 × 83,562.60
  4. Step 4: Simplify right side
    225,716.16x = 28,295,840,596.85
  5. Step 5: Solve for x
    x = 28,295,840,596.85/225,716.16
  6. Step 6: Final answer
    x = 125,360.28

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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.