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Finding the Fourth Proportional to 149,309.16, 206,046.58 and 82,241.16

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Solution

The fourth proportional to 149,309.16, 206,046.58 and 82,241.16 is: 113,492.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,309.16 : 206,046.58 = 82,241.16 : x
  2. Step 2: Convert to fraction form
    149,309.16/206,046.58 = 82,241.16/x
  3. Step 3: Cross multiply
    149,309.16x = 206,046.58 × 82,241.16
  4. Step 4: Simplify right side
    149,309.16x = 16,945,509,753.23
  5. Step 5: Solve for x
    x = 16,945,509,753.23/149,309.16
  6. Step 6: Final answer
    x = 113,492.77

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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.