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Finding the Fourth Proportional to 231,656.65, 347,709.68 and 111,797.97

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Solution

The fourth proportional to 231,656.65, 347,709.68 and 111,797.97 is: 167,805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,656.65 : 347,709.68 = 111,797.97 : x
  2. Step 2: Convert to fraction form
    231,656.65/347,709.68 = 111,797.97/x
  3. Step 3: Cross multiply
    231,656.65x = 347,709.68 × 111,797.97
  4. Step 4: Simplify right side
    231,656.65x = 38,873,236,373.35
  5. Step 5: Solve for x
    x = 38,873,236,373.35/231,656.65
  6. Step 6: Final answer
    x = 167,805.40

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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.