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Finding the Fourth Proportional to 92,146.68, 138,480.30 and 54,713.88

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Solution

The fourth proportional to 92,146.68, 138,480.30 and 54,713.88 is: 82,225.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,146.68 : 138,480.30 = 54,713.88 : x
  2. Step 2: Convert to fraction form
    92,146.68/138,480.30 = 54,713.88/x
  3. Step 3: Cross multiply
    92,146.68x = 138,480.30 × 54,713.88
  4. Step 4: Simplify right side
    92,146.68x = 7,576,794,516.56
  5. Step 5: Solve for x
    x = 7,576,794,516.56/92,146.68
  6. Step 6: Final answer
    x = 82,225.37

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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.