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Finding the Fourth Proportional to 231,925.44, 347,891.40 and 65,713.44

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Solution

The fourth proportional to 231,925.44, 347,891.40 and 65,713.44 is: 98,571.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,925.44 : 347,891.40 = 65,713.44 : x
  2. Step 2: Convert to fraction form
    231,925.44/347,891.40 = 65,713.44/x
  3. Step 3: Cross multiply
    231,925.44x = 347,891.40 × 65,713.44
  4. Step 4: Simplify right side
    231,925.44x = 22,861,140,640.42
  5. Step 5: Solve for x
    x = 22,861,140,640.42/231,925.44
  6. Step 6: Final answer
    x = 98,571.08

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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.