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Finding the Fourth Proportional to 203,491.80, 280,523.70 and 142,877.88

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Solution

The fourth proportional to 203,491.80, 280,523.70 and 142,877.88 is: 196,964.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,491.80 : 280,523.70 = 142,877.88 : x
  2. Step 2: Convert to fraction form
    203,491.80/280,523.70 = 142,877.88/x
  3. Step 3: Cross multiply
    203,491.80x = 280,523.70 × 142,877.88
  4. Step 4: Simplify right side
    203,491.80x = 40,080,631,545.76
  5. Step 5: Solve for x
    x = 40,080,631,545.76/203,491.80
  6. Step 6: Final answer
    x = 196,964.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.