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Finding the Fourth Proportional to 264,042.65, 396,063.98 and 164,509.85

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Solution

The fourth proportional to 264,042.65, 396,063.98 and 164,509.85 is: 246,764.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,042.65 : 396,063.98 = 164,509.85 : x
  2. Step 2: Convert to fraction form
    264,042.65/396,063.98 = 164,509.85/x
  3. Step 3: Cross multiply
    264,042.65x = 396,063.98 × 164,509.85
  4. Step 4: Simplify right side
    264,042.65x = 65,156,425,117.65
  5. Step 5: Solve for x
    x = 65,156,425,117.65/264,042.65
  6. Step 6: Final answer
    x = 246,764.78

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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.