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Finding the Fourth Proportional to 110,738.64, 166,101.98 and 54,522.70

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Solution

The fourth proportional to 110,738.64, 166,101.98 and 54,522.70 is: 81,781.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,738.64 : 166,101.98 = 54,522.70 : x
  2. Step 2: Convert to fraction form
    110,738.64/166,101.98 = 54,522.70/x
  3. Step 3: Cross multiply
    110,738.64x = 166,101.98 × 54,522.70
  4. Step 4: Simplify right side
    110,738.64x = 9,056,328,424.95
  5. Step 5: Solve for x
    x = 9,056,328,424.95/110,738.64
  6. Step 6: Final answer
    x = 81,781.11

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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.