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Finding the Fourth Proportional to 231,376.96, 347,065.44 and 65,143.36

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Solution

The fourth proportional to 231,376.96, 347,065.44 and 65,143.36 is: 97,715.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,376.96 : 347,065.44 = 65,143.36 : x
  2. Step 2: Convert to fraction form
    231,376.96/347,065.44 = 65,143.36/x
  3. Step 3: Cross multiply
    231,376.96x = 347,065.44 × 65,143.36
  4. Step 4: Simplify right side
    231,376.96x = 22,609,008,901.48
  5. Step 5: Solve for x
    x = 22,609,008,901.48/231,376.96
  6. Step 6: Final answer
    x = 97,715.04

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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.