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Finding the Fourth Proportional to 160,103.56, 220,923.78 and 88,473.84

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Solution

The fourth proportional to 160,103.56, 220,923.78 and 88,473.84 is: 122,083.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,103.56 : 220,923.78 = 88,473.84 : x
  2. Step 2: Convert to fraction form
    160,103.56/220,923.78 = 88,473.84/x
  3. Step 3: Cross multiply
    160,103.56x = 220,923.78 × 88,473.84
  4. Step 4: Simplify right side
    160,103.56x = 19,545,975,163.92
  5. Step 5: Solve for x
    x = 19,545,975,163.92/160,103.56
  6. Step 6: Final answer
    x = 122,083.33

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1.5x scale

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.