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Finding the Fourth Proportional to 196,315.38, 294,226.02 and 106,354.62

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Solution

The fourth proportional to 196,315.38, 294,226.02 and 106,354.62 is: 159,398.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,315.38 : 294,226.02 = 106,354.62 : x
  2. Step 2: Convert to fraction form
    196,315.38/294,226.02 = 106,354.62/x
  3. Step 3: Cross multiply
    196,315.38x = 294,226.02 × 106,354.62
  4. Step 4: Simplify right side
    196,315.38x = 31,292,296,551.21
  5. Step 5: Solve for x
    x = 31,292,296,551.21/196,315.38
  6. Step 6: Final answer
    x = 159,398.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.