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Finding the Fourth Proportional to 149,283.94, 206,002.48 and 82,215.94

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Solution

The fourth proportional to 149,283.94, 206,002.48 and 82,215.94 is: 113,452.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,283.94 : 206,002.48 = 82,215.94 : x
  2. Step 2: Convert to fraction form
    149,283.94/206,002.48 = 82,215.94/x
  3. Step 3: Cross multiply
    149,283.94x = 206,002.48 × 82,215.94
  4. Step 4: Simplify right side
    149,283.94x = 16,936,687,535.53
  5. Step 5: Solve for x
    x = 16,936,687,535.53/149,283.94
  6. Step 6: Final answer
    x = 113,452.84

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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.