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Finding the Fourth Proportional to 231,711.81, 347,583.51 and 73,952.16

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Solution

The fourth proportional to 231,711.81, 347,583.51 and 73,952.16 is: 110,933.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,711.81 : 347,583.51 = 73,952.16 : x
  2. Step 2: Convert to fraction form
    231,711.81/347,583.51 = 73,952.16/x
  3. Step 3: Cross multiply
    231,711.81x = 347,583.51 × 73,952.16
  4. Step 4: Simplify right side
    231,711.81x = 25,704,551,344.88
  5. Step 5: Solve for x
    x = 25,704,551,344.88/231,711.81
  6. Step 6: Final answer
    x = 110,933.28

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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.