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Finding the Fourth Proportional to 198,072.90, 297,104.11 and 55,928.01

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Solution

The fourth proportional to 198,072.90, 297,104.11 and 55,928.01 is: 83,890.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,072.90 : 297,104.11 = 55,928.01 : x
  2. Step 2: Convert to fraction form
    198,072.90/297,104.11 = 55,928.01/x
  3. Step 3: Cross multiply
    198,072.90x = 297,104.11 × 55,928.01
  4. Step 4: Simplify right side
    198,072.90x = 16,616,441,635.12
  5. Step 5: Solve for x
    x = 16,616,441,635.12/198,072.90
  6. Step 6: Final answer
    x = 83,890.54

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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.