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Finding the Fourth Proportional to 225,805.50, 338,708.42 and 57,338.46

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Solution

The fourth proportional to 225,805.50, 338,708.42 and 57,338.46 is: 86,007.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,805.50 : 338,708.42 = 57,338.46 : x
  2. Step 2: Convert to fraction form
    225,805.50/338,708.42 = 57,338.46/x
  3. Step 3: Cross multiply
    225,805.50x = 338,708.42 × 57,338.46
  4. Step 4: Simplify right side
    225,805.50x = 19,421,018,905.14
  5. Step 5: Solve for x
    x = 19,421,018,905.14/225,805.50
  6. Step 6: Final answer
    x = 86,007.73

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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.