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Finding the Fourth Proportional to 149,282.94, 206,001.10 and 82,214.94

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Solution

The fourth proportional to 149,282.94, 206,001.10 and 82,214.94 is: 113,451.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,282.94 : 206,001.10 = 82,214.94 : x
  2. Step 2: Convert to fraction form
    149,282.94/206,001.10 = 82,214.94/x
  3. Step 3: Cross multiply
    149,282.94x = 206,001.10 × 82,214.94
  4. Step 4: Simplify right side
    149,282.94x = 16,936,368,076.43
  5. Step 5: Solve for x
    x = 16,936,368,076.43/149,282.94
  6. Step 6: Final answer
    x = 113,451.46

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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.