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Finding the Fourth Proportional to 277,767.54, 416,648.22 and 88,222.83

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Solution

The fourth proportional to 277,767.54, 416,648.22 and 88,222.83 is: 132,333.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,767.54 : 416,648.22 = 88,222.83 : x
  2. Step 2: Convert to fraction form
    277,767.54/416,648.22 = 88,222.83/x
  3. Step 3: Cross multiply
    277,767.54x = 416,648.22 × 88,222.83
  4. Step 4: Simplify right side
    277,767.54x = 36,757,885,082.86
  5. Step 5: Solve for x
    x = 36,757,885,082.86/277,767.54
  6. Step 6: Final answer
    x = 132,333.26

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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.