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Finding the Fourth Proportional to 188,991.20, 283,384.40 and 78,194.40

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Solution

The fourth proportional to 188,991.20, 283,384.40 and 78,194.40 is: 117,249.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,991.20 : 283,384.40 = 78,194.40 : x
  2. Step 2: Convert to fraction form
    188,991.20/283,384.40 = 78,194.40/x
  3. Step 3: Cross multiply
    188,991.20x = 283,384.40 × 78,194.40
  4. Step 4: Simplify right side
    188,991.20x = 22,159,073,127.36
  5. Step 5: Solve for x
    x = 22,159,073,127.36/188,991.20
  6. Step 6: Final answer
    x = 117,249.23

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1.5x scale

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.