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Finding the Fourth Proportional to 149,408.93, 206,184.33 and 82,340.93

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Solution

The fourth proportional to 149,408.93, 206,184.33 and 82,340.93 is: 113,630.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,408.93 : 206,184.33 = 82,340.93 : x
  2. Step 2: Convert to fraction form
    149,408.93/206,184.33 = 82,340.93/x
  3. Step 3: Cross multiply
    149,408.93x = 206,184.33 × 82,340.93
  4. Step 4: Simplify right side
    149,408.93x = 16,977,409,999.09
  5. Step 5: Solve for x
    x = 16,977,409,999.09/149,408.93
  6. Step 6: Final answer
    x = 113,630.49

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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.