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Finding the Fourth Proportional to 225,862.98, 338,342.71 and 135,855.98

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Solution

The fourth proportional to 225,862.98, 338,342.71 and 135,855.98 is: 203,512.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,862.98 : 338,342.71 = 135,855.98 : x
  2. Step 2: Convert to fraction form
    225,862.98/338,342.71 = 135,855.98/x
  3. Step 3: Cross multiply
    225,862.98x = 338,342.71 × 135,855.98
  4. Step 4: Simplify right side
    225,862.98x = 45,965,880,442.91
  5. Step 5: Solve for x
    x = 45,965,880,442.91/225,862.98
  6. Step 6: Final answer
    x = 203,512.24

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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.