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Finding the Fourth Proportional to 227,296.50, 313,803.72 and 202,076.34

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Solution

The fourth proportional to 227,296.50, 313,803.72 and 202,076.34 is: 278,984.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,296.50 : 313,803.72 = 202,076.34 : x
  2. Step 2: Convert to fraction form
    227,296.50/313,803.72 = 202,076.34/x
  3. Step 3: Cross multiply
    227,296.50x = 313,803.72 × 202,076.34
  4. Step 4: Simplify right side
    227,296.50x = 63,412,307,215.98
  5. Step 5: Solve for x
    x = 63,412,307,215.98/227,296.50
  6. Step 6: Final answer
    x = 278,984.97

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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.