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Finding the Fourth Proportional to 110,505.87, 165,874.76 and 97,936.05

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Solution

The fourth proportional to 110,505.87, 165,874.76 and 97,936.05 is: 147,006.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,505.87 : 165,874.76 = 97,936.05 : x
  2. Step 2: Convert to fraction form
    110,505.87/165,874.76 = 97,936.05/x
  3. Step 3: Cross multiply
    110,505.87x = 165,874.76 × 97,936.05
  4. Step 4: Simplify right side
    110,505.87x = 16,245,118,789.10
  5. Step 5: Solve for x
    x = 16,245,118,789.10/110,505.87
  6. Step 6: Final answer
    x = 147,006.84

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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.