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Finding the Fourth Proportional to 308,203.96, 462,546.96 and 158,438.20

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Solution

The fourth proportional to 308,203.96, 462,546.96 and 158,438.20 is: 237,781.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,203.96 : 462,546.96 = 158,438.20 : x
  2. Step 2: Convert to fraction form
    308,203.96/462,546.96 = 158,438.20/x
  3. Step 3: Cross multiply
    308,203.96x = 462,546.96 × 158,438.20
  4. Step 4: Simplify right side
    308,203.96x = 73,285,107,757.87
  5. Step 5: Solve for x
    x = 73,285,107,757.87/308,203.96
  6. Step 6: Final answer
    x = 237,781.20

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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.