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Finding the Fourth Proportional to 198,073.38, 297,136.54 and 57,829.98

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Solution

The fourth proportional to 198,073.38, 297,136.54 and 57,829.98 is: 86,752.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,073.38 : 297,136.54 = 57,829.98 : x
  2. Step 2: Convert to fraction form
    198,073.38/297,136.54 = 57,829.98/x
  3. Step 3: Cross multiply
    198,073.38x = 297,136.54 × 57,829.98
  4. Step 4: Simplify right side
    198,073.38x = 17,183,400,165.47
  5. Step 5: Solve for x
    x = 17,183,400,165.47/198,073.38
  6. Step 6: Final answer
    x = 86,752.70

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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.