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Finding the Fourth Proportional to 231,169.74, 346,854.78 and 81,516.96

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Solution

The fourth proportional to 231,169.74, 346,854.78 and 81,516.96 is: 122,310.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,169.74 : 346,854.78 = 81,516.96 : x
  2. Step 2: Convert to fraction form
    231,169.74/346,854.78 = 81,516.96/x
  3. Step 3: Cross multiply
    231,169.74x = 346,854.78 × 81,516.96
  4. Step 4: Simplify right side
    231,169.74x = 28,274,547,227.07
  5. Step 5: Solve for x
    x = 28,274,547,227.07/231,169.74
  6. Step 6: Final answer
    x = 122,310.76

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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.