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Finding the Fourth Proportional to 149,334.66, 206,081.76 and 82,266.66

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Solution

The fourth proportional to 149,334.66, 206,081.76 and 82,266.66 is: 113,527.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,334.66 : 206,081.76 = 82,266.66 : x
  2. Step 2: Convert to fraction form
    149,334.66/206,081.76 = 82,266.66/x
  3. Step 3: Cross multiply
    149,334.66x = 206,081.76 × 82,266.66
  4. Step 4: Simplify right side
    149,334.66x = 16,953,658,082.12
  5. Step 5: Solve for x
    x = 16,953,658,082.12/149,334.66
  6. Step 6: Final answer
    x = 113,527.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.