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Finding the Fourth Proportional to 188,853.80, 282,978.30 and 99,991.40

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Solution

The fourth proportional to 188,853.80, 282,978.30 and 99,991.40 is: 149,826.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,853.80 : 282,978.30 = 99,991.40 : x
  2. Step 2: Convert to fraction form
    188,853.80/282,978.30 = 99,991.40/x
  3. Step 3: Cross multiply
    188,853.80x = 282,978.30 × 99,991.40
  4. Step 4: Simplify right side
    188,853.80x = 28,295,396,386.62
  5. Step 5: Solve for x
    x = 28,295,396,386.62/188,853.80
  6. Step 6: Final answer
    x = 149,826.99

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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.