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Finding the Fourth Proportional to 229,197.16, 343,794.72 and 71,425.72

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Solution

The fourth proportional to 229,197.16, 343,794.72 and 71,425.72 is: 107,138.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,197.16 : 343,794.72 = 71,425.72 : x
  2. Step 2: Convert to fraction form
    229,197.16/343,794.72 = 71,425.72/x
  3. Step 3: Cross multiply
    229,197.16x = 343,794.72 × 71,425.72
  4. Step 4: Simplify right side
    229,197.16x = 24,555,785,408.20
  5. Step 5: Solve for x
    x = 24,555,785,408.20/229,197.16
  6. Step 6: Final answer
    x = 107,138.26

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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.