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Finding the Fourth Proportional to 196,029, 270,520.02 and 106,605

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Solution

The fourth proportional to 196,029, 270,520.02 and 106,605 is: 147,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,029 : 270,520.02 = 106,605 : x
  2. Step 2: Convert to fraction form
    196,029/270,520.02 = 106,605/x
  3. Step 3: Cross multiply
    196,029x = 270,520.02 × 106,605
  4. Step 4: Simplify right side
    196,029x = 28,838,786,732.10
  5. Step 5: Solve for x
    x = 28,838,786,732.10/196,029
  6. Step 6: Final answer
    x = 147,114.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.