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Finding the Fourth Proportional to 149,627, 206,489.60 and 82,563.32

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Solution

The fourth proportional to 149,627, 206,489.60 and 82,563.32 is: 113,939.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,627 : 206,489.60 = 82,563.32 : x
  2. Step 2: Convert to fraction form
    149,627/206,489.60 = 82,563.32/x
  3. Step 3: Cross multiply
    149,627x = 206,489.60 × 82,563.32
  4. Step 4: Simplify right side
    149,627x = 17,048,466,921.47
  5. Step 5: Solve for x
    x = 17,048,466,921.47/149,627
  6. Step 6: Final answer
    x = 113,939.78

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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.