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Finding the Fourth Proportional to 277,718.13, 416,591.78 and 88,193.61

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Solution

The fourth proportional to 277,718.13, 416,591.78 and 88,193.61 is: 132,295.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,718.13 : 416,591.78 = 88,193.61 : x
  2. Step 2: Convert to fraction form
    277,718.13/416,591.78 = 88,193.61/x
  3. Step 3: Cross multiply
    277,718.13x = 416,591.78 × 88,193.61
  4. Step 4: Simplify right side
    277,718.13x = 36,740,732,533.56
  5. Step 5: Solve for x
    x = 36,740,732,533.56/277,718.13
  6. Step 6: Final answer
    x = 132,295.05

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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.