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Finding the Fourth Proportional to 141,390.75, 195,107.64 and 83,238.27

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Solution

The fourth proportional to 141,390.75, 195,107.64 and 83,238.27 is: 114,861.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,390.75 : 195,107.64 = 83,238.27 : x
  2. Step 2: Convert to fraction form
    141,390.75/195,107.64 = 83,238.27/x
  3. Step 3: Cross multiply
    141,390.75x = 195,107.64 × 83,238.27
  4. Step 4: Simplify right side
    141,390.75x = 16,240,422,417.38
  5. Step 5: Solve for x
    x = 16,240,422,417.38/141,390.75
  6. Step 6: Final answer
    x = 114,861.99

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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.