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Finding the Fourth Proportional to 198,750.52, 298,127.94 and 58,511.80

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Solution

The fourth proportional to 198,750.52, 298,127.94 and 58,511.80 is: 87,768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,750.52 : 298,127.94 = 58,511.80 : x
  2. Step 2: Convert to fraction form
    198,750.52/298,127.94 = 58,511.80/x
  3. Step 3: Cross multiply
    198,750.52x = 298,127.94 × 58,511.80
  4. Step 4: Simplify right side
    198,750.52x = 17,444,002,399.69
  5. Step 5: Solve for x
    x = 17,444,002,399.69/198,750.52
  6. Step 6: Final answer
    x = 87,768.34

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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.