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Finding the Fourth Proportional to 277,818.72, 416,579.76 and 88,227.78

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Solution

The fourth proportional to 277,818.72, 416,579.76 and 88,227.78 is: 132,294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,818.72 : 416,579.76 = 88,227.78 : x
  2. Step 2: Convert to fraction form
    277,818.72/416,579.76 = 88,227.78/x
  3. Step 3: Cross multiply
    277,818.72x = 416,579.76 × 88,227.78
  4. Step 4: Simplify right side
    277,818.72x = 36,753,907,417.73
  5. Step 5: Solve for x
    x = 36,753,907,417.73/277,818.72
  6. Step 6: Final answer
    x = 132,294.57

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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.