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Finding the Fourth Proportional to 264,657.64, 396,763.32 and 114,785.09

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Solution

The fourth proportional to 264,657.64, 396,763.32 and 114,785.09 is: 172,080.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,657.64 : 396,763.32 = 114,785.09 : x
  2. Step 2: Convert to fraction form
    264,657.64/396,763.32 = 114,785.09/x
  3. Step 3: Cross multiply
    264,657.64x = 396,763.32 × 114,785.09
  4. Step 4: Simplify right side
    264,657.64x = 45,542,514,717.25
  5. Step 5: Solve for x
    x = 45,542,514,717.25/264,657.64
  6. Step 6: Final answer
    x = 172,080.86

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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.