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Finding the Fourth Proportional to 231,952.16, 347,369.88 and 131,867.48

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Solution

The fourth proportional to 231,952.16, 347,369.88 and 131,867.48 is: 197,483.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,952.16 : 347,369.88 = 131,867.48 : x
  2. Step 2: Convert to fraction form
    231,952.16/347,369.88 = 131,867.48/x
  3. Step 3: Cross multiply
    231,952.16x = 347,369.88 × 131,867.48
  4. Step 4: Simplify right side
    231,952.16x = 45,806,790,703.50
  5. Step 5: Solve for x
    x = 45,806,790,703.50/231,952.16
  6. Step 6: Final answer
    x = 197,483.79

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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.