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Finding the Fourth Proportional to 130,006.64, 194,850.45 and 73,893.75

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Solution

The fourth proportional to 130,006.64, 194,850.45 and 73,893.75 is: 110,749.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,006.64 : 194,850.45 = 73,893.75 : x
  2. Step 2: Convert to fraction form
    130,006.64/194,850.45 = 73,893.75/x
  3. Step 3: Cross multiply
    130,006.64x = 194,850.45 × 73,893.75
  4. Step 4: Simplify right side
    130,006.64x = 14,398,230,439.69
  5. Step 5: Solve for x
    x = 14,398,230,439.69/130,006.64
  6. Step 6: Final answer
    x = 110,749.97

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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.