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Finding the Fourth Proportional to 149,635.88, 206,492.10 and 82,566.44

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Solution

The fourth proportional to 149,635.88, 206,492.10 and 82,566.44 is: 113,938.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,635.88 : 206,492.10 = 82,566.44 : x
  2. Step 2: Convert to fraction form
    149,635.88/206,492.10 = 82,566.44/x
  3. Step 3: Cross multiply
    149,635.88x = 206,492.10 × 82,566.44
  4. Step 4: Simplify right side
    149,635.88x = 17,049,317,585.12
  5. Step 5: Solve for x
    x = 17,049,317,585.12/149,635.88
  6. Step 6: Final answer
    x = 113,938.70

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1.5x scale

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.