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Finding the Fourth Proportional to 160,067.90, 220,894.25 and 87,470.77

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Solution

The fourth proportional to 160,067.90, 220,894.25 and 87,470.77 is: 120,709.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,067.90 : 220,894.25 = 87,470.77 : x
  2. Step 2: Convert to fraction form
    160,067.90/220,894.25 = 87,470.77/x
  3. Step 3: Cross multiply
    160,067.90x = 220,894.25 × 87,470.77
  4. Step 4: Simplify right side
    160,067.90x = 19,321,791,107.59
  5. Step 5: Solve for x
    x = 19,321,791,107.59/160,067.90
  6. Step 6: Final answer
    x = 120,709.97

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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.