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Finding the Fourth Proportional to 198,052.16, 297,165.69 and 79,954.16

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Solution

The fourth proportional to 198,052.16, 297,165.69 and 79,954.16 is: 119,966.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,052.16 : 297,165.69 = 79,954.16 : x
  2. Step 2: Convert to fraction form
    198,052.16/297,165.69 = 79,954.16/x
  3. Step 3: Cross multiply
    198,052.16x = 297,165.69 × 79,954.16
  4. Step 4: Simplify right side
    198,052.16x = 23,759,631,638.94
  5. Step 5: Solve for x
    x = 23,759,631,638.94/198,052.16
  6. Step 6: Final answer
    x = 119,966.54

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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.