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Finding the Fourth Proportional to 277,583.38, 416,376.15 and 67,221.52

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Solution

The fourth proportional to 277,583.38, 416,376.15 and 67,221.52 is: 100,832.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,583.38 : 416,376.15 = 67,221.52 : x
  2. Step 2: Convert to fraction form
    277,583.38/416,376.15 = 67,221.52/x
  3. Step 3: Cross multiply
    277,583.38x = 416,376.15 × 67,221.52
  4. Step 4: Simplify right side
    277,583.38x = 27,989,437,694.75
  5. Step 5: Solve for x
    x = 27,989,437,694.75/277,583.38
  6. Step 6: Final answer
    x = 100,832.54

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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.