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Finding the Fourth Proportional to 188,703.90, 283,097.43 and 82,104.59

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Solution

The fourth proportional to 188,703.90, 283,097.43 and 82,104.59 is: 123,174.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,703.90 : 283,097.43 = 82,104.59 : x
  2. Step 2: Convert to fraction form
    188,703.90/283,097.43 = 82,104.59/x
  3. Step 3: Cross multiply
    188,703.90x = 283,097.43 × 82,104.59
  4. Step 4: Simplify right side
    188,703.90x = 23,243,599,127.95
  5. Step 5: Solve for x
    x = 23,243,599,127.95/188,703.90
  6. Step 6: Final answer
    x = 123,174.98

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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.