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Finding the Fourth Proportional to 311,388.36, 467,082.38 and 101,026.28

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Solution

The fourth proportional to 311,388.36, 467,082.38 and 101,026.28 is: 151,539.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,388.36 : 467,082.38 = 101,026.28 : x
  2. Step 2: Convert to fraction form
    311,388.36/467,082.38 = 101,026.28/x
  3. Step 3: Cross multiply
    311,388.36x = 467,082.38 × 101,026.28
  4. Step 4: Simplify right side
    311,388.36x = 47,187,595,304.95
  5. Step 5: Solve for x
    x = 47,187,595,304.95/311,388.36
  6. Step 6: Final answer
    x = 151,539.37

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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.