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Finding the Fourth Proportional to 227,257.44, 340,949.21 and 99,184.91

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Solution

The fourth proportional to 227,257.44, 340,949.21 and 99,184.91 is: 148,804.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,257.44 : 340,949.21 = 99,184.91 : x
  2. Step 2: Convert to fraction form
    227,257.44/340,949.21 = 99,184.91/x
  3. Step 3: Cross multiply
    227,257.44x = 340,949.21 × 99,184.91
  4. Step 4: Simplify right side
    227,257.44x = 33,817,014,507.75
  5. Step 5: Solve for x
    x = 33,817,014,507.75/227,257.44
  6. Step 6: Final answer
    x = 148,804.87

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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.