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Finding the Fourth Proportional to 92,134.40, 137,924.73 and 82,510.20

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Solution

The fourth proportional to 92,134.40, 137,924.73 and 82,510.20 is: 123,517.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,134.40 : 137,924.73 = 82,510.20 : x
  2. Step 2: Convert to fraction form
    92,134.40/137,924.73 = 82,510.20/x
  3. Step 3: Cross multiply
    92,134.40x = 137,924.73 × 82,510.20
  4. Step 4: Simplify right side
    92,134.40x = 11,380,197,057.25
  5. Step 5: Solve for x
    x = 11,380,197,057.25/92,134.40
  6. Step 6: Final answer
    x = 123,517.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.