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Finding the Fourth Proportional to 229,161.56, 343,787.70 and 71,383.28

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Solution

The fourth proportional to 229,161.56, 343,787.70 and 71,383.28 is: 107,089.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,161.56 : 343,787.70 = 71,383.28 : x
  2. Step 2: Convert to fraction form
    229,161.56/343,787.70 = 71,383.28/x
  3. Step 3: Cross multiply
    229,161.56x = 343,787.70 × 71,383.28
  4. Step 4: Simplify right side
    229,161.56x = 24,540,693,649.66
  5. Step 5: Solve for x
    x = 24,540,693,649.66/229,161.56
  6. Step 6: Final answer
    x = 107,089.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.