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Finding the Fourth Proportional to 201,890.24, 278,617.92 and 117,033.92

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Solution

The fourth proportional to 201,890.24, 278,617.92 and 117,033.92 is: 161,512.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,890.24 : 278,617.92 = 117,033.92 : x
  2. Step 2: Convert to fraction form
    201,890.24/278,617.92 = 117,033.92/x
  3. Step 3: Cross multiply
    201,890.24x = 278,617.92 × 117,033.92
  4. Step 4: Simplify right side
    201,890.24x = 32,607,747,359.85
  5. Step 5: Solve for x
    x = 32,607,747,359.85/201,890.24
  6. Step 6: Final answer
    x = 161,512.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.