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Finding the Fourth Proportional to 280,771.38, 387,464.58 and 159,923.97

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Solution

The fourth proportional to 280,771.38, 387,464.58 and 159,923.97 is: 220,695.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,771.38 : 387,464.58 = 159,923.97 : x
  2. Step 2: Convert to fraction form
    280,771.38/387,464.58 = 159,923.97/x
  3. Step 3: Cross multiply
    280,771.38x = 387,464.58 × 159,923.97
  4. Step 4: Simplify right side
    280,771.38x = 61,964,873,867.98
  5. Step 5: Solve for x
    x = 61,964,873,867.98/280,771.38
  6. Step 6: Final answer
    x = 220,695.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.