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Finding the Fourth Proportional to 264,229.22, 396,385.16 and 86,695.86

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Solution

The fourth proportional to 264,229.22, 396,385.16 and 86,695.86 is: 130,057.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,229.22 : 396,385.16 = 86,695.86 : x
  2. Step 2: Convert to fraction form
    264,229.22/396,385.16 = 86,695.86/x
  3. Step 3: Cross multiply
    264,229.22x = 396,385.16 × 86,695.86
  4. Step 4: Simplify right side
    264,229.22x = 34,364,952,337.44
  5. Step 5: Solve for x
    x = 34,364,952,337.44/264,229.22
  6. Step 6: Final answer
    x = 130,057.35

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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.