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Finding the Fourth Proportional to 225,407.40, 338,156.16 and 83,253.48

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Solution

The fourth proportional to 225,407.40, 338,156.16 and 83,253.48 is: 124,896.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,407.40 : 338,156.16 = 83,253.48 : x
  2. Step 2: Convert to fraction form
    225,407.40/338,156.16 = 83,253.48/x
  3. Step 3: Cross multiply
    225,407.40x = 338,156.16 × 83,253.48
  4. Step 4: Simplify right side
    225,407.40x = 28,152,677,103.44
  5. Step 5: Solve for x
    x = 28,152,677,103.44/225,407.40
  6. Step 6: Final answer
    x = 124,896.86

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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.