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Finding the Fourth Proportional to 225,644.15, 338,483.24 and 75,884.87

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Solution

The fourth proportional to 225,644.15, 338,483.24 and 75,884.87 is: 113,833.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,644.15 : 338,483.24 = 75,884.87 : x
  2. Step 2: Convert to fraction form
    225,644.15/338,483.24 = 75,884.87/x
  3. Step 3: Cross multiply
    225,644.15x = 338,483.24 × 75,884.87
  4. Step 4: Simplify right side
    225,644.15x = 25,685,754,592.74
  5. Step 5: Solve for x
    x = 25,685,754,592.74/225,644.15
  6. Step 6: Final answer
    x = 113,833.02

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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.