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Finding the Fourth Proportional to 137,800.80, 206,822.70 and 81,570.60

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Solution

The fourth proportional to 137,800.80, 206,822.70 and 81,570.60 is: 122,427.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,800.80 : 206,822.70 = 81,570.60 : x
  2. Step 2: Convert to fraction form
    137,800.80/206,822.70 = 81,570.60/x
  3. Step 3: Cross multiply
    137,800.80x = 206,822.70 × 81,570.60
  4. Step 4: Simplify right side
    137,800.80x = 16,870,651,732.62
  5. Step 5: Solve for x
    x = 16,870,651,732.62/137,800.80
  6. Step 6: Final answer
    x = 122,427.82

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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.