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Finding the Fourth Proportional to 308,149.82, 462,224.73 and 83,510.26

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Solution

The fourth proportional to 308,149.82, 462,224.73 and 83,510.26 is: 125,265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,149.82 : 462,224.73 = 83,510.26 : x
  2. Step 2: Convert to fraction form
    308,149.82/462,224.73 = 83,510.26/x
  3. Step 3: Cross multiply
    308,149.82x = 462,224.73 × 83,510.26
  4. Step 4: Simplify right side
    308,149.82x = 38,600,504,652.05
  5. Step 5: Solve for x
    x = 38,600,504,652.05/308,149.82
  6. Step 6: Final answer
    x = 125,265.38

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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.