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Finding the Fourth Proportional to 198,535.36, 297,846.96 and 65,410.24

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Solution

The fourth proportional to 198,535.36, 297,846.96 and 65,410.24 is: 98,129.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,535.36 : 297,846.96 = 65,410.24 : x
  2. Step 2: Convert to fraction form
    198,535.36/297,846.96 = 65,410.24/x
  3. Step 3: Cross multiply
    198,535.36x = 297,846.96 × 65,410.24
  4. Step 4: Simplify right side
    198,535.36x = 19,482,241,136.87
  5. Step 5: Solve for x
    x = 19,482,241,136.87/198,535.36
  6. Step 6: Final answer
    x = 98,129.83

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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.