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Finding the Fourth Proportional to 227,677.82, 314,171.53 and 132,165.86

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Solution

The fourth proportional to 227,677.82, 314,171.53 and 132,165.86 is: 182,375.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,677.82 : 314,171.53 = 132,165.86 : x
  2. Step 2: Convert to fraction form
    227,677.82/314,171.53 = 132,165.86/x
  3. Step 3: Cross multiply
    227,677.82x = 314,171.53 × 132,165.86
  4. Step 4: Simplify right side
    227,677.82x = 41,522,748,548.69
  5. Step 5: Solve for x
    x = 41,522,748,548.69/227,677.82
  6. Step 6: Final answer
    x = 182,375.03

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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.