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Finding the Fourth Proportional to 227,594.79, 314,187.12 and 132,083.04

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Solution

The fourth proportional to 227,594.79, 314,187.12 and 132,083.04 is: 182,336.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,594.79 : 314,187.12 = 132,083.04 : x
  2. Step 2: Convert to fraction form
    227,594.79/314,187.12 = 132,083.04/x
  3. Step 3: Cross multiply
    227,594.79x = 314,187.12 × 132,083.04
  4. Step 4: Simplify right side
    227,594.79x = 41,498,789,938.44
  5. Step 5: Solve for x
    x = 41,498,789,938.44/227,594.79
  6. Step 6: Final answer
    x = 182,336.29

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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.