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Finding the Fourth Proportional to 141,033.80, 211,896.30 and 106,041.80

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Solution

The fourth proportional to 141,033.80, 211,896.30 and 106,041.80 is: 159,322.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,033.80 : 211,896.30 = 106,041.80 : x
  2. Step 2: Convert to fraction form
    141,033.80/211,896.30 = 106,041.80/x
  3. Step 3: Cross multiply
    141,033.80x = 211,896.30 × 106,041.80
  4. Step 4: Simplify right side
    141,033.80x = 22,469,865,065.34
  5. Step 5: Solve for x
    x = 22,469,865,065.34/141,033.80
  6. Step 6: Final answer
    x = 159,322.55

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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.