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Finding the Fourth Proportional to 227,713.12, 314,310.84 and 132,262.72

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Solution

The fourth proportional to 227,713.12, 314,310.84 and 132,262.72 is: 182,561.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,713.12 : 314,310.84 = 132,262.72 : x
  2. Step 2: Convert to fraction form
    227,713.12/314,310.84 = 132,262.72/x
  3. Step 3: Cross multiply
    227,713.12x = 314,310.84 × 132,262.72
  4. Step 4: Simplify right side
    227,713.12x = 41,571,606,623.88
  5. Step 5: Solve for x
    x = 41,571,606,623.88/227,713.12
  6. Step 6: Final answer
    x = 182,561.31

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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.