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Finding the Fourth Proportional to 137,698.80, 206,669.70 and 81,468.60

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Solution

The fourth proportional to 137,698.80, 206,669.70 and 81,468.60 is: 122,274.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,698.80 : 206,669.70 = 81,468.60 : x
  2. Step 2: Convert to fraction form
    137,698.80/206,669.70 = 81,468.60/x
  3. Step 3: Cross multiply
    137,698.80x = 206,669.70 × 81,468.60
  4. Step 4: Simplify right side
    137,698.80x = 16,837,091,121.42
  5. Step 5: Solve for x
    x = 16,837,091,121.42/137,698.80
  6. Step 6: Final answer
    x = 122,274.78

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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.