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Finding the Fourth Proportional to 198,114.84, 297,169.92 and 92,859.48

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Solution

The fourth proportional to 198,114.84, 297,169.92 and 92,859.48 is: 139,288.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,114.84 : 297,169.92 = 92,859.48 : x
  2. Step 2: Convert to fraction form
    198,114.84/297,169.92 = 92,859.48/x
  3. Step 3: Cross multiply
    198,114.84x = 297,169.92 × 92,859.48
  4. Step 4: Simplify right side
    198,114.84x = 27,595,044,242.84
  5. Step 5: Solve for x
    x = 27,595,044,242.84/198,114.84
  6. Step 6: Final answer
    x = 139,288.12

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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.