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Finding the Fourth Proportional to 225,825.52, 338,738.40 and 57,358.48

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Solution

The fourth proportional to 225,825.52, 338,738.40 and 57,358.48 is: 86,037.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,825.52 : 338,738.40 = 57,358.48 : x
  2. Step 2: Convert to fraction form
    225,825.52/338,738.40 = 57,358.48/x
  3. Step 3: Cross multiply
    225,825.52x = 338,738.40 × 57,358.48
  4. Step 4: Simplify right side
    225,825.52x = 19,429,518,191.34
  5. Step 5: Solve for x
    x = 19,429,518,191.34/225,825.52
  6. Step 6: Final answer
    x = 86,037.75

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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.