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Finding the Fourth Proportional to 225,877.85, 338,848.01 and 76,160.96

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Solution

The fourth proportional to 225,877.85, 338,848.01 and 76,160.96 is: 114,251.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,877.85 : 338,848.01 = 76,160.96 : x
  2. Step 2: Convert to fraction form
    225,877.85/338,848.01 = 76,160.96/x
  3. Step 3: Cross multiply
    225,877.85x = 338,848.01 × 76,160.96
  4. Step 4: Simplify right side
    225,877.85x = 25,806,989,354.88
  5. Step 5: Solve for x
    x = 25,806,989,354.88/225,877.85
  6. Step 6: Final answer
    x = 114,251.97

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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.