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Finding the Fourth Proportional to 228,422.52, 315,117.48 and 147,876.12

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Solution

The fourth proportional to 228,422.52, 315,117.48 and 147,876.12 is: 204,000.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,422.52 : 315,117.48 = 147,876.12 : x
  2. Step 2: Convert to fraction form
    228,422.52/315,117.48 = 147,876.12/x
  3. Step 3: Cross multiply
    228,422.52x = 315,117.48 × 147,876.12
  4. Step 4: Simplify right side
    228,422.52x = 46,598,350,286.58
  5. Step 5: Solve for x
    x = 46,598,350,286.58/228,422.52
  6. Step 6: Final answer
    x = 204,000.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.