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Finding the Fourth Proportional to 149,468.22, 206,264.79 and 82,400.22

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Solution

The fourth proportional to 149,468.22, 206,264.79 and 82,400.22 is: 113,711.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,468.22 : 206,264.79 = 82,400.22 : x
  2. Step 2: Convert to fraction form
    149,468.22/206,264.79 = 82,400.22/x
  3. Step 3: Cross multiply
    149,468.22x = 206,264.79 × 82,400.22
  4. Step 4: Simplify right side
    149,468.22x = 16,996,264,074.25
  5. Step 5: Solve for x
    x = 16,996,264,074.25/149,468.22
  6. Step 6: Final answer
    x = 113,711.56

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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.