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Finding the Fourth Proportional to 225,815.21, 338,722.95 and 57,348.17

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Solution

The fourth proportional to 225,815.21, 338,722.95 and 57,348.17 is: 86,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,815.21 : 338,722.95 = 57,348.17 : x
  2. Step 2: Convert to fraction form
    225,815.21/338,722.95 = 57,348.17/x
  3. Step 3: Cross multiply
    225,815.21x = 338,722.95 × 57,348.17
  4. Step 4: Simplify right side
    225,815.21x = 19,425,139,625.89
  5. Step 5: Solve for x
    x = 19,425,139,625.89/225,815.21
  6. Step 6: Final answer
    x = 86,022.28

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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.