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Finding the Fourth Proportional to 264,565.16, 396,732.92 and 96,029.48

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Solution

The fourth proportional to 264,565.16, 396,732.92 and 96,029.48 is: 144,002.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,565.16 : 396,732.92 = 96,029.48 : x
  2. Step 2: Convert to fraction form
    264,565.16/396,732.92 = 96,029.48/x
  3. Step 3: Cross multiply
    264,565.16x = 396,732.92 × 96,029.48
  4. Step 4: Simplify right side
    264,565.16x = 38,098,056,006.48
  5. Step 5: Solve for x
    x = 38,098,056,006.48/264,565.16
  6. Step 6: Final answer
    x = 144,002.54

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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.