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Finding the Fourth Proportional to 109,144.80, 163,684.80 and 42,546.60

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Solution

The fourth proportional to 109,144.80, 163,684.80 and 42,546.60 is: 63,807.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,144.80 : 163,684.80 = 42,546.60 : x
  2. Step 2: Convert to fraction form
    109,144.80/163,684.80 = 42,546.60/x
  3. Step 3: Cross multiply
    109,144.80x = 163,684.80 × 42,546.60
  4. Step 4: Simplify right side
    109,144.80x = 6,964,231,711.68
  5. Step 5: Solve for x
    x = 6,964,231,711.68/109,144.80
  6. Step 6: Final answer
    x = 63,807.27

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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.