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Finding the Fourth Proportional to 264,255.78, 396,235.11 and 86,747.94

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Solution

The fourth proportional to 264,255.78, 396,235.11 and 86,747.94 is: 130,073.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,255.78 : 396,235.11 = 86,747.94 : x
  2. Step 2: Convert to fraction form
    264,255.78/396,235.11 = 86,747.94/x
  3. Step 3: Cross multiply
    264,255.78x = 396,235.11 × 86,747.94
  4. Step 4: Simplify right side
    264,255.78x = 34,372,579,548.17
  5. Step 5: Solve for x
    x = 34,372,579,548.17/264,255.78
  6. Step 6: Final answer
    x = 130,073.14

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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.