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Finding the Fourth Proportional to 141,032.80, 211,894.80 and 106,040.80

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Solution

The fourth proportional to 141,032.80, 211,894.80 and 106,040.80 is: 159,321.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,032.80 : 211,894.80 = 106,040.80 : x
  2. Step 2: Convert to fraction form
    141,032.80/211,894.80 = 106,040.80/x
  3. Step 3: Cross multiply
    141,032.80x = 211,894.80 × 106,040.80
  4. Step 4: Simplify right side
    141,032.80x = 22,469,494,107.84
  5. Step 5: Solve for x
    x = 22,469,494,107.84/141,032.80
  6. Step 6: Final answer
    x = 159,321.05

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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.