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Finding the Fourth Proportional to 227,655.35, 314,190.96 and 189,347.31

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Solution

The fourth proportional to 227,655.35, 314,190.96 and 189,347.31 is: 261,321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,655.35 : 314,190.96 = 189,347.31 : x
  2. Step 2: Convert to fraction form
    227,655.35/314,190.96 = 189,347.31/x
  3. Step 3: Cross multiply
    227,655.35x = 314,190.96 × 189,347.31
  4. Step 4: Simplify right side
    227,655.35x = 59,491,213,570.48
  5. Step 5: Solve for x
    x = 59,491,213,570.48/227,655.35
  6. Step 6: Final answer
    x = 261,321.39

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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.