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Finding the Fourth Proportional to 129,846.96, 194,880.96 and 51,016.32

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Solution

The fourth proportional to 129,846.96, 194,880.96 and 51,016.32 is: 76,567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,846.96 : 194,880.96 = 51,016.32 : x
  2. Step 2: Convert to fraction form
    129,846.96/194,880.96 = 51,016.32/x
  3. Step 3: Cross multiply
    129,846.96x = 194,880.96 × 51,016.32
  4. Step 4: Simplify right side
    129,846.96x = 9,942,109,417.27
  5. Step 5: Solve for x
    x = 9,942,109,417.27/129,846.96
  6. Step 6: Final answer
    x = 76,567.90

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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.