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Finding the Fourth Proportional to 227,266.96, 313,444.38 and 199,984.14

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Solution

The fourth proportional to 227,266.96, 313,444.38 and 199,984.14 is: 275,816.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,266.96 : 313,444.38 = 199,984.14 : x
  2. Step 2: Convert to fraction form
    227,266.96/313,444.38 = 199,984.14/x
  3. Step 3: Cross multiply
    227,266.96x = 313,444.38 × 199,984.14
  4. Step 4: Simplify right side
    227,266.96x = 62,683,904,772.13
  5. Step 5: Solve for x
    x = 62,683,904,772.13/227,266.96
  6. Step 6: Final answer
    x = 275,816.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.