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Finding the Fourth Proportional to 227,694.94, 314,195.16 and 132,182.98

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Solution

The fourth proportional to 227,694.94, 314,195.16 and 132,182.98 is: 182,398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,694.94 : 314,195.16 = 132,182.98 : x
  2. Step 2: Convert to fraction form
    227,694.94/314,195.16 = 132,182.98/x
  3. Step 3: Cross multiply
    227,694.94x = 314,195.16 × 132,182.98
  4. Step 4: Simplify right side
    227,694.94x = 41,531,252,550.38
  5. Step 5: Solve for x
    x = 41,531,252,550.38/227,694.94
  6. Step 6: Final answer
    x = 182,398.66

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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.