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Finding the Fourth Proportional to 188,244.87, 282,422.60 and 75,867.24

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Solution

The fourth proportional to 188,244.87, 282,422.60 and 75,867.24 is: 113,823.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,244.87 : 282,422.60 = 75,867.24 : x
  2. Step 2: Convert to fraction form
    188,244.87/282,422.60 = 75,867.24/x
  3. Step 3: Cross multiply
    188,244.87x = 282,422.60 × 75,867.24
  4. Step 4: Simplify right side
    188,244.87x = 21,426,622,796.29
  5. Step 5: Solve for x
    x = 21,426,622,796.29/188,244.87
  6. Step 6: Final answer
    x = 113,823.14

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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.