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Finding the Fourth Proportional to 198,584.87, 297,783.71 and 72,135.98

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Solution

The fourth proportional to 198,584.87, 297,783.71 and 72,135.98 is: 108,169.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,584.87 : 297,783.71 = 72,135.98 : x
  2. Step 2: Convert to fraction form
    198,584.87/297,783.71 = 72,135.98/x
  3. Step 3: Cross multiply
    198,584.87x = 297,783.71 × 72,135.98
  4. Step 4: Simplify right side
    198,584.87x = 21,480,918,271.52
  5. Step 5: Solve for x
    x = 21,480,918,271.52/198,584.87
  6. Step 6: Final answer
    x = 108,169.96

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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.