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Finding the Fourth Proportional to 198,267.96, 297,246.42 and 98,357.88

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Solution

The fourth proportional to 198,267.96, 297,246.42 and 98,357.88 is: 147,459.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,267.96 : 297,246.42 = 98,357.88 : x
  2. Step 2: Convert to fraction form
    198,267.96/297,246.42 = 98,357.88/x
  3. Step 3: Cross multiply
    198,267.96x = 297,246.42 × 98,357.88
  4. Step 4: Simplify right side
    198,267.96x = 29,236,527,708.79
  5. Step 5: Solve for x
    x = 29,236,527,708.79/198,267.96
  6. Step 6: Final answer
    x = 147,459.67

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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.