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Finding the Fourth Proportional to 229,357.85, 343,884.83 and 109,433.30

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Solution

The fourth proportional to 229,357.85, 343,884.83 and 109,433.30 is: 164,077.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,357.85 : 343,884.83 = 109,433.30 : x
  2. Step 2: Convert to fraction form
    229,357.85/343,884.83 = 109,433.30/x
  3. Step 3: Cross multiply
    229,357.85x = 343,884.83 × 109,433.30
  4. Step 4: Simplify right side
    229,357.85x = 37,632,449,500.25
  5. Step 5: Solve for x
    x = 37,632,449,500.25/229,357.85
  6. Step 6: Final answer
    x = 164,077.45

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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.