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Finding the Fourth Proportional to 110,711.20, 166,066.80 and 36,839.20

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Solution

The fourth proportional to 110,711.20, 166,066.80 and 36,839.20 is: 55,258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,711.20 : 166,066.80 = 36,839.20 : x
  2. Step 2: Convert to fraction form
    110,711.20/166,066.80 = 36,839.20/x
  3. Step 3: Cross multiply
    110,711.20x = 166,066.80 × 36,839.20
  4. Step 4: Simplify right side
    110,711.20x = 6,117,768,058.56
  5. Step 5: Solve for x
    x = 6,117,768,058.56/110,711.20
  6. Step 6: Final answer
    x = 55,258.80

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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.