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Finding the Fourth Proportional to 227,603.82, 341,296.11 and 132,861.90

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Solution

The fourth proportional to 227,603.82, 341,296.11 and 132,861.90 is: 199,228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,603.82 : 341,296.11 = 132,861.90 : x
  2. Step 2: Convert to fraction form
    227,603.82/341,296.11 = 132,861.90/x
  3. Step 3: Cross multiply
    227,603.82x = 341,296.11 × 132,861.90
  4. Step 4: Simplify right side
    227,603.82x = 45,345,249,637.21
  5. Step 5: Solve for x
    x = 45,345,249,637.21/227,603.82
  6. Step 6: Final answer
    x = 199,228.86

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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.