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Finding the Fourth Proportional to 188,978.46, 283,468.08 and 177,431.10

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Solution

The fourth proportional to 188,978.46, 283,468.08 and 177,431.10 is: 266,147.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,978.46 : 283,468.08 = 177,431.10 : x
  2. Step 2: Convert to fraction form
    188,978.46/283,468.08 = 177,431.10/x
  3. Step 3: Cross multiply
    188,978.46x = 283,468.08 × 177,431.10
  4. Step 4: Simplify right side
    188,978.46x = 50,296,053,249.29
  5. Step 5: Solve for x
    x = 50,296,053,249.29/188,978.46
  6. Step 6: Final answer
    x = 266,147.02

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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.