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Finding the Fourth Proportional to 92,198, 138,266.16 and 36,023.54

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Solution

The fourth proportional to 92,198, 138,266.16 and 36,023.54 is: 54,023.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,198 : 138,266.16 = 36,023.54 : x
  2. Step 2: Convert to fraction form
    92,198/138,266.16 = 36,023.54/x
  3. Step 3: Cross multiply
    92,198x = 138,266.16 × 36,023.54
  4. Step 4: Simplify right side
    92,198x = 4,980,836,545.41
  5. Step 5: Solve for x
    x = 4,980,836,545.41/92,198
  6. Step 6: Final answer
    x = 54,023.26

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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.