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Finding the Fourth Proportional to 196,011.30, 293,645.97 and 115,809.42

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Solution

The fourth proportional to 196,011.30, 293,645.97 and 115,809.42 is: 173,494.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,011.30 : 293,645.97 = 115,809.42 : x
  2. Step 2: Convert to fraction form
    196,011.30/293,645.97 = 115,809.42/x
  3. Step 3: Cross multiply
    196,011.30x = 293,645.97 × 115,809.42
  4. Step 4: Simplify right side
    196,011.30x = 34,006,969,471.04
  5. Step 5: Solve for x
    x = 34,006,969,471.04/196,011.30
  6. Step 6: Final answer
    x = 173,494.94

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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.