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Finding the Fourth Proportional to 205,576.40, 308,134.20 and 87,227.60

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Solution

The fourth proportional to 205,576.40, 308,134.20 and 87,227.60 is: 130,743.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,576.40 : 308,134.20 = 87,227.60 : x
  2. Step 2: Convert to fraction form
    205,576.40/308,134.20 = 87,227.60/x
  3. Step 3: Cross multiply
    205,576.40x = 308,134.20 × 87,227.60
  4. Step 4: Simplify right side
    205,576.40x = 26,877,806,743.92
  5. Step 5: Solve for x
    x = 26,877,806,743.92/205,576.40
  6. Step 6: Final answer
    x = 130,743.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.