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Finding the Fourth Proportional to 225,288.84, 337,920.30 and 75,523.08

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Solution

The fourth proportional to 225,288.84, 337,920.30 and 75,523.08 is: 113,280.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,288.84 : 337,920.30 = 75,523.08 : x
  2. Step 2: Convert to fraction form
    225,288.84/337,920.30 = 75,523.08/x
  3. Step 3: Cross multiply
    225,288.84x = 337,920.30 × 75,523.08
  4. Step 4: Simplify right side
    225,288.84x = 25,520,781,850.52
  5. Step 5: Solve for x
    x = 25,520,781,850.52/225,288.84
  6. Step 6: Final answer
    x = 113,280.28

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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.