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Finding the Fourth Proportional to 270,190.14, 405,355.24 and 143,726.24

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Solution

The fourth proportional to 270,190.14, 405,355.24 and 143,726.24 is: 215,626.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,190.14 : 405,355.24 = 143,726.24 : x
  2. Step 2: Convert to fraction form
    270,190.14/405,355.24 = 143,726.24/x
  3. Step 3: Cross multiply
    270,190.14x = 405,355.24 × 143,726.24
  4. Step 4: Simplify right side
    270,190.14x = 58,260,184,509.50
  5. Step 5: Solve for x
    x = 58,260,184,509.50/270,190.14
  6. Step 6: Final answer
    x = 215,626.61

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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.