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Finding the Fourth Proportional to 201,324.15, 301,764.78 and 82,930.91

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Solution

The fourth proportional to 201,324.15, 301,764.78 and 82,930.91 is: 124,305.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,324.15 : 301,764.78 = 82,930.91 : x
  2. Step 2: Convert to fraction form
    201,324.15/301,764.78 = 82,930.91/x
  3. Step 3: Cross multiply
    201,324.15x = 301,764.78 × 82,930.91
  4. Step 4: Simplify right side
    201,324.15x = 25,025,626,302.53
  5. Step 5: Solve for x
    x = 25,025,626,302.53/201,324.15
  6. Step 6: Final answer
    x = 124,305.14

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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.