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Finding the Fourth Proportional to 188,736.16, 283,106.40 and 64,086.88

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Solution

The fourth proportional to 188,736.16, 283,106.40 and 64,086.88 is: 96,131.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,736.16 : 283,106.40 = 64,086.88 : x
  2. Step 2: Convert to fraction form
    188,736.16/283,106.40 = 64,086.88/x
  3. Step 3: Cross multiply
    188,736.16x = 283,106.40 × 64,086.88
  4. Step 4: Simplify right side
    188,736.16x = 18,143,405,884.03
  5. Step 5: Solve for x
    x = 18,143,405,884.03/188,736.16
  6. Step 6: Final answer
    x = 96,131.05

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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.