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Finding the Fourth Proportional to 106,388.64, 159,565.64 and 50,228.64

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Solution

The fourth proportional to 106,388.64, 159,565.64 and 50,228.64 is: 75,334.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,388.64 : 159,565.64 = 50,228.64 : x
  2. Step 2: Convert to fraction form
    106,388.64/159,565.64 = 50,228.64/x
  3. Step 3: Cross multiply
    106,388.64x = 159,565.64 × 50,228.64
  4. Step 4: Simplify right side
    106,388.64x = 8,014,765,087.93
  5. Step 5: Solve for x
    x = 8,014,765,087.93/106,388.64
  6. Step 6: Final answer
    x = 75,334.78

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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.