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Finding the Fourth Proportional to 277,811.98, 416,757.69 and 85,702.66

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Solution

The fourth proportional to 277,811.98, 416,757.69 and 85,702.66 is: 128,566.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,811.98 : 416,757.69 = 85,702.66 : x
  2. Step 2: Convert to fraction form
    277,811.98/416,757.69 = 85,702.66/x
  3. Step 3: Cross multiply
    277,811.98x = 416,757.69 × 85,702.66
  4. Step 4: Simplify right side
    277,811.98x = 35,717,241,566.56
  5. Step 5: Solve for x
    x = 35,717,241,566.56/277,811.98
  6. Step 6: Final answer
    x = 128,566.24

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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.