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Finding the Fourth Proportional to 131,974.80, 197,693.40 and 81,901.20

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Solution

The fourth proportional to 131,974.80, 197,693.40 and 81,901.20 is: 122,684.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,974.80 : 197,693.40 = 81,901.20 : x
  2. Step 2: Convert to fraction form
    131,974.80/197,693.40 = 81,901.20/x
  3. Step 3: Cross multiply
    131,974.80x = 197,693.40 × 81,901.20
  4. Step 4: Simplify right side
    131,974.80x = 16,191,326,692.08
  5. Step 5: Solve for x
    x = 16,191,326,692.08/131,974.80
  6. Step 6: Final answer
    x = 122,684.99

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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.