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Finding the Fourth Proportional to 109,076.20, 163,515.88 and 75,811.93

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Solution

The fourth proportional to 109,076.20, 163,515.88 and 75,811.93 is: 113,649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,076.20 : 163,515.88 = 75,811.93 : x
  2. Step 2: Convert to fraction form
    109,076.20/163,515.88 = 75,811.93/x
  3. Step 3: Cross multiply
    109,076.20x = 163,515.88 × 75,811.93
  4. Step 4: Simplify right side
    109,076.20x = 12,396,454,448.45
  5. Step 5: Solve for x
    x = 12,396,454,448.45/109,076.20
  6. Step 6: Final answer
    x = 113,649.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.