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Finding the Fourth Proportional to 100,227.42, 138,307.90 and 54,896.38

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Solution

The fourth proportional to 100,227.42, 138,307.90 and 54,896.38 is: 75,753.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,227.42 : 138,307.90 = 54,896.38 : x
  2. Step 2: Convert to fraction form
    100,227.42/138,307.90 = 54,896.38/x
  3. Step 3: Cross multiply
    100,227.42x = 138,307.90 × 54,896.38
  4. Step 4: Simplify right side
    100,227.42x = 7,592,603,035.40
  5. Step 5: Solve for x
    x = 7,592,603,035.40/100,227.42
  6. Step 6: Final answer
    x = 75,753.75

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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.