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Finding the Fourth Proportional to 198,265.96, 297,243.42 and 98,355.88

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Solution

The fourth proportional to 198,265.96, 297,243.42 and 98,355.88 is: 147,456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,265.96 : 297,243.42 = 98,355.88 : x
  2. Step 2: Convert to fraction form
    198,265.96/297,243.42 = 98,355.88/x
  3. Step 3: Cross multiply
    198,265.96x = 297,243.42 × 98,355.88
  4. Step 4: Simplify right side
    198,265.96x = 29,235,638,148.31
  5. Step 5: Solve for x
    x = 29,235,638,148.31/198,265.96
  6. Step 6: Final answer
    x = 147,456.67

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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.