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Finding the Fourth Proportional to 264,503.76, 396,609.84 and 137,827.86

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Solution

The fourth proportional to 264,503.76, 396,609.84 and 137,827.86 is: 206,665.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,503.76 : 396,609.84 = 137,827.86 : x
  2. Step 2: Convert to fraction form
    264,503.76/396,609.84 = 137,827.86/x
  3. Step 3: Cross multiply
    264,503.76x = 396,609.84 × 137,827.86
  4. Step 4: Simplify right side
    264,503.76x = 54,663,885,502.14
  5. Step 5: Solve for x
    x = 54,663,885,502.14/264,503.76
  6. Step 6: Final answer
    x = 206,665.82

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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.