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Finding the Fourth Proportional to 229,052.56, 343,600.72 and 71,238.64

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Solution

The fourth proportional to 229,052.56, 343,600.72 and 71,238.64 is: 106,864.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,052.56 : 343,600.72 = 71,238.64 : x
  2. Step 2: Convert to fraction form
    229,052.56/343,600.72 = 71,238.64/x
  3. Step 3: Cross multiply
    229,052.56x = 343,600.72 × 71,238.64
  4. Step 4: Simplify right side
    229,052.56x = 24,477,647,995.82
  5. Step 5: Solve for x
    x = 24,477,647,995.82/229,052.56
  6. Step 6: Final answer
    x = 106,864.76

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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.