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Finding the Fourth Proportional to 110,344.98, 165,198.33 and 98,949.90

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Solution

The fourth proportional to 110,344.98, 165,198.33 and 98,949.90 is: 148,138.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,344.98 : 165,198.33 = 98,949.90 : x
  2. Step 2: Convert to fraction form
    110,344.98/165,198.33 = 98,949.90/x
  3. Step 3: Cross multiply
    110,344.98x = 165,198.33 × 98,949.90
  4. Step 4: Simplify right side
    110,344.98x = 16,346,358,233.67
  5. Step 5: Solve for x
    x = 16,346,358,233.67/110,344.98
  6. Step 6: Final answer
    x = 148,138.67

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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.