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Finding the Fourth Proportional to 109,680.30, 164,411.10 and 50,412.60

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Solution

The fourth proportional to 109,680.30, 164,411.10 and 50,412.60 is: 75,568.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,680.30 : 164,411.10 = 50,412.60 : x
  2. Step 2: Convert to fraction form
    109,680.30/164,411.10 = 50,412.60/x
  3. Step 3: Cross multiply
    109,680.30x = 164,411.10 × 50,412.60
  4. Step 4: Simplify right side
    109,680.30x = 8,288,391,019.86
  5. Step 5: Solve for x
    x = 8,288,391,019.86/109,680.30
  6. Step 6: Final answer
    x = 75,568.64

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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.