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Finding the Fourth Proportional to 198,713.52, 298,072.44 and 58,474.80

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Solution

The fourth proportional to 198,713.52, 298,072.44 and 58,474.80 is: 87,712.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,713.52 : 298,072.44 = 58,474.80 : x
  2. Step 2: Convert to fraction form
    198,713.52/298,072.44 = 58,474.80/x
  3. Step 3: Cross multiply
    198,713.52x = 298,072.44 × 58,474.80
  4. Step 4: Simplify right side
    198,713.52x = 17,429,726,314.51
  5. Step 5: Solve for x
    x = 17,429,726,314.51/198,713.52
  6. Step 6: Final answer
    x = 87,712.84

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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.