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Finding the Fourth Proportional to 264,805.83, 397,233.23 and 75,270.15

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Solution

The fourth proportional to 264,805.83, 397,233.23 and 75,270.15 is: 112,912.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,805.83 : 397,233.23 = 75,270.15 : x
  2. Step 2: Convert to fraction form
    264,805.83/397,233.23 = 75,270.15/x
  3. Step 3: Cross multiply
    264,805.83x = 397,233.23 × 75,270.15
  4. Step 4: Simplify right side
    264,805.83x = 29,899,804,430.73
  5. Step 5: Solve for x
    x = 29,899,804,430.73/264,805.83
  6. Step 6: Final answer
    x = 112,912.18

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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.