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Finding the Fourth Proportional to 188,299, 282,448.24 and 48,057.62

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Solution

The fourth proportional to 188,299, 282,448.24 and 48,057.62 is: 72,086.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,299 : 282,448.24 = 48,057.62 : x
  2. Step 2: Convert to fraction form
    188,299/282,448.24 = 48,057.62/x
  3. Step 3: Cross multiply
    188,299x = 282,448.24 × 48,057.62
  4. Step 4: Simplify right side
    188,299x = 13,573,790,187.59
  5. Step 5: Solve for x
    x = 13,573,790,187.59/188,299
  6. Step 6: Final answer
    x = 72,086.36

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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.