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Finding the Fourth Proportional to 264,376.80, 396,565.20 and 159,400.80

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Solution

The fourth proportional to 264,376.80, 396,565.20 and 159,400.80 is: 239,101.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,376.80 : 396,565.20 = 159,400.80 : x
  2. Step 2: Convert to fraction form
    264,376.80/396,565.20 = 159,400.80/x
  3. Step 3: Cross multiply
    264,376.80x = 396,565.20 × 159,400.80
  4. Step 4: Simplify right side
    264,376.80x = 63,212,810,132.16
  5. Step 5: Solve for x
    x = 63,212,810,132.16/264,376.80
  6. Step 6: Final answer
    x = 239,101.20

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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.