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Finding the Fourth Proportional to 109,902.53, 164,854.20 and 26,796.53

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Solution

The fourth proportional to 109,902.53, 164,854.20 and 26,796.53 is: 40,194.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,902.53 : 164,854.20 = 26,796.53 : x
  2. Step 2: Convert to fraction form
    109,902.53/164,854.20 = 26,796.53/x
  3. Step 3: Cross multiply
    109,902.53x = 164,854.20 × 26,796.53
  4. Step 4: Simplify right side
    109,902.53x = 4,417,520,515.93
  5. Step 5: Solve for x
    x = 4,417,520,515.93/109,902.53
  6. Step 6: Final answer
    x = 40,194.89

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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.