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Finding the Fourth Proportional to 240,568.57, 360,851.24 and 188,022.25

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Solution

The fourth proportional to 240,568.57, 360,851.24 and 188,022.25 is: 282,032.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,568.57 : 360,851.24 = 188,022.25 : x
  2. Step 2: Convert to fraction form
    240,568.57/360,851.24 = 188,022.25/x
  3. Step 3: Cross multiply
    240,568.57x = 360,851.24 × 188,022.25
  4. Step 4: Simplify right side
    240,568.57x = 67,848,061,119.98
  5. Step 5: Solve for x
    x = 67,848,061,119.98/240,568.57
  6. Step 6: Final answer
    x = 282,032.11

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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.