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Finding the Fourth Proportional to 110,499.10, 165,748.65 and 98,251.90

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Solution

The fourth proportional to 110,499.10, 165,748.65 and 98,251.90 is: 147,377.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,499.10 : 165,748.65 = 98,251.90 : x
  2. Step 2: Convert to fraction form
    110,499.10/165,748.65 = 98,251.90/x
  3. Step 3: Cross multiply
    110,499.10x = 165,748.65 × 98,251.90
  4. Step 4: Simplify right side
    110,499.10x = 16,285,119,784.94
  5. Step 5: Solve for x
    x = 16,285,119,784.94/110,499.10
  6. Step 6: Final answer
    x = 147,377.85

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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.