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Finding the Fourth Proportional to 92,323.96, 138,305.17 and 82,282.22

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Solution

The fourth proportional to 92,323.96, 138,305.17 and 82,282.22 is: 123,262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,323.96 : 138,305.17 = 82,282.22 : x
  2. Step 2: Convert to fraction form
    92,323.96/138,305.17 = 82,282.22/x
  3. Step 3: Cross multiply
    92,323.96x = 138,305.17 × 82,282.22
  4. Step 4: Simplify right side
    92,323.96x = 11,380,055,527.85
  5. Step 5: Solve for x
    x = 11,380,055,527.85/92,323.96
  6. Step 6: Final answer
    x = 123,262.22

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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.