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Finding the Fourth Proportional to 198,588.84, 298,095.48 and 80,337.48

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Solution

The fourth proportional to 198,588.84, 298,095.48 and 80,337.48 is: 120,592.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,588.84 : 298,095.48 = 80,337.48 : x
  2. Step 2: Convert to fraction form
    198,588.84/298,095.48 = 80,337.48/x
  3. Step 3: Cross multiply
    198,588.84x = 298,095.48 × 80,337.48
  4. Step 4: Simplify right side
    198,588.84x = 23,948,239,662.59
  5. Step 5: Solve for x
    x = 23,948,239,662.59/198,588.84
  6. Step 6: Final answer
    x = 120,592.07

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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.