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Finding the Fourth Proportional to 225,566.27, 338,364.97 and 65,643.53

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Solution

The fourth proportional to 225,566.27, 338,364.97 and 65,643.53 is: 98,469.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,566.27 : 338,364.97 = 65,643.53 : x
  2. Step 2: Convert to fraction form
    225,566.27/338,364.97 = 65,643.53/x
  3. Step 3: Cross multiply
    225,566.27x = 338,364.97 × 65,643.53
  4. Step 4: Simplify right side
    225,566.27x = 22,211,471,059.14
  5. Step 5: Solve for x
    x = 22,211,471,059.14/225,566.27
  6. Step 6: Final answer
    x = 98,469.82

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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.