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Finding the Fourth Proportional to 264,565.84, 396,847.68 and 96,085.84

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Solution

The fourth proportional to 264,565.84, 396,847.68 and 96,085.84 is: 144,128.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,565.84 : 396,847.68 = 96,085.84 : x
  2. Step 2: Convert to fraction form
    264,565.84/396,847.68 = 96,085.84/x
  3. Step 3: Cross multiply
    264,565.84x = 396,847.68 × 96,085.84
  4. Step 4: Simplify right side
    264,565.84x = 38,131,442,684.85
  5. Step 5: Solve for x
    x = 38,131,442,684.85/264,565.84
  6. Step 6: Final answer
    x = 144,128.37

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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.