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Finding the Fourth Proportional to 196,466.38, 294,489.72 and 112,044.74

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Solution

The fourth proportional to 196,466.38, 294,489.72 and 112,044.74 is: 167,947.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,466.38 : 294,489.72 = 112,044.74 : x
  2. Step 2: Convert to fraction form
    196,466.38/294,489.72 = 112,044.74/x
  3. Step 3: Cross multiply
    196,466.38x = 294,489.72 × 112,044.74
  4. Step 4: Simplify right side
    196,466.38x = 32,996,022,637.62
  5. Step 5: Solve for x
    x = 32,996,022,637.62/196,466.38
  6. Step 6: Final answer
    x = 167,947.43

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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.