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Finding the Fourth Proportional to 225,718.48, 338,733.52 and 77,974.48

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Solution

The fourth proportional to 225,718.48, 338,733.52 and 77,974.48 is: 117,015.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,718.48 : 338,733.52 = 77,974.48 : x
  2. Step 2: Convert to fraction form
    225,718.48/338,733.52 = 77,974.48/x
  3. Step 3: Cross multiply
    225,718.48x = 338,733.52 × 77,974.48
  4. Step 4: Simplify right side
    225,718.48x = 26,412,570,080.57
  5. Step 5: Solve for x
    x = 26,412,570,080.57/225,718.48
  6. Step 6: Final answer
    x = 117,015.54

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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.