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Finding the Fourth Proportional to 138,745.34, 191,469.92 and 75,084.46

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Solution

The fourth proportional to 138,745.34, 191,469.92 and 75,084.46 is: 103,617.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,745.34 : 191,469.92 = 75,084.46 : x
  2. Step 2: Convert to fraction form
    138,745.34/191,469.92 = 75,084.46/x
  3. Step 3: Cross multiply
    138,745.34x = 191,469.92 × 75,084.46
  4. Step 4: Simplify right side
    138,745.34x = 14,376,415,549.44
  5. Step 5: Solve for x
    x = 14,376,415,549.44/138,745.34
  6. Step 6: Final answer
    x = 103,617.29

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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.