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Finding the Fourth Proportional to 110,729.70, 166,094.55 and 81,205.20

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Solution

The fourth proportional to 110,729.70, 166,094.55 and 81,205.20 is: 121,807.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,729.70 : 166,094.55 = 81,205.20 : x
  2. Step 2: Convert to fraction form
    110,729.70/166,094.55 = 81,205.20/x
  3. Step 3: Cross multiply
    110,729.70x = 166,094.55 × 81,205.20
  4. Step 4: Simplify right side
    110,729.70x = 13,487,741,151.66
  5. Step 5: Solve for x
    x = 13,487,741,151.66/110,729.70
  6. Step 6: Final answer
    x = 121,807.80

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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.