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Finding the Fourth Proportional to 196,471.97, 294,498.13 and 112,050.35

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Solution

The fourth proportional to 196,471.97, 294,498.13 and 112,050.35 is: 167,955.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,471.97 : 294,498.13 = 112,050.35 : x
  2. Step 2: Convert to fraction form
    196,471.97/294,498.13 = 112,050.35/x
  3. Step 3: Cross multiply
    196,471.97x = 294,498.13 × 112,050.35
  4. Step 4: Simplify right side
    196,471.97x = 32,998,618,540.85
  5. Step 5: Solve for x
    x = 32,998,618,540.85/196,471.97
  6. Step 6: Final answer
    x = 167,955.86

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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.