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Finding the Fourth Proportional to 264,115.52, 396,289.44 and 106,651.52

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Solution

The fourth proportional to 264,115.52, 396,289.44 and 106,651.52 is: 160,024.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,115.52 : 396,289.44 = 106,651.52 : x
  2. Step 2: Convert to fraction form
    264,115.52/396,289.44 = 106,651.52/x
  3. Step 3: Cross multiply
    264,115.52x = 396,289.44 × 106,651.52
  4. Step 4: Simplify right side
    264,115.52x = 42,264,871,135.95
  5. Step 5: Solve for x
    x = 42,264,871,135.95/264,115.52
  6. Step 6: Final answer
    x = 160,024.19

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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.