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Finding the Fourth Proportional to 198,803.30, 298,102.80 and 58,543.70

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Solution

The fourth proportional to 198,803.30, 298,102.80 and 58,543.70 is: 87,785.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,803.30 : 298,102.80 = 58,543.70 : x
  2. Step 2: Convert to fraction form
    198,803.30/298,102.80 = 58,543.70/x
  3. Step 3: Cross multiply
    198,803.30x = 298,102.80 × 58,543.70
  4. Step 4: Simplify right side
    198,803.30x = 17,452,040,892.36
  5. Step 5: Solve for x
    x = 17,452,040,892.36/198,803.30
  6. Step 6: Final answer
    x = 87,785.47

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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.