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Finding the Fourth Proportional to 270,188.14, 405,352.24 and 143,724.24

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Solution

The fourth proportional to 270,188.14, 405,352.24 and 143,724.24 is: 215,623.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,188.14 : 405,352.24 = 143,724.24 : x
  2. Step 2: Convert to fraction form
    270,188.14/405,352.24 = 143,724.24/x
  3. Step 3: Cross multiply
    270,188.14x = 405,352.24 × 143,724.24
  4. Step 4: Simplify right side
    270,188.14x = 58,258,942,626.30
  5. Step 5: Solve for x
    x = 58,258,942,626.30/270,188.14
  6. Step 6: Final answer
    x = 215,623.61

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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.