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Finding the Fourth Proportional to 229,058.90, 343,660.35 and 110,734.10

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Solution

The fourth proportional to 229,058.90, 343,660.35 and 110,734.10 is: 166,135.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,058.90 : 343,660.35 = 110,734.10 : x
  2. Step 2: Convert to fraction form
    229,058.90/343,660.35 = 110,734.10/x
  3. Step 3: Cross multiply
    229,058.90x = 343,660.35 × 110,734.10
  4. Step 4: Simplify right side
    229,058.90x = 38,054,919,562.94
  5. Step 5: Solve for x
    x = 38,054,919,562.94/229,058.90
  6. Step 6: Final answer
    x = 166,135.96

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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.