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Finding the Fourth Proportional to 188,542.90, 282,906.51 and 88,713.01

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Solution

The fourth proportional to 188,542.90, 282,906.51 and 88,713.01 is: 133,112.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,542.90 : 282,906.51 = 88,713.01 : x
  2. Step 2: Convert to fraction form
    188,542.90/282,906.51 = 88,713.01/x
  3. Step 3: Cross multiply
    188,542.90x = 282,906.51 × 88,713.01
  4. Step 4: Simplify right side
    188,542.90x = 25,097,488,050.70
  5. Step 5: Solve for x
    x = 25,097,488,050.70/188,542.90
  6. Step 6: Final answer
    x = 133,112.88

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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.