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Finding the Fourth Proportional to 231,434.24, 347,157.12 and 65,216

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Solution

The fourth proportional to 231,434.24, 347,157.12 and 65,216 is: 97,825.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,434.24 : 347,157.12 = 65,216 : x
  2. Step 2: Convert to fraction form
    231,434.24/347,157.12 = 65,216/x
  3. Step 3: Cross multiply
    231,434.24x = 347,157.12 × 65,216
  4. Step 4: Simplify right side
    231,434.24x = 22,640,198,737.92
  5. Step 5: Solve for x
    x = 22,640,198,737.92/231,434.24
  6. Step 6: Final answer
    x = 97,825.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.