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Finding the Fourth Proportional to 231,039.92, 346,472.40 and 90,722

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Solution

The fourth proportional to 231,039.92, 346,472.40 and 90,722 is: 136,048.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,039.92 : 346,472.40 = 90,722 : x
  2. Step 2: Convert to fraction form
    231,039.92/346,472.40 = 90,722/x
  3. Step 3: Cross multiply
    231,039.92x = 346,472.40 × 90,722
  4. Step 4: Simplify right side
    231,039.92x = 31,432,669,072.80
  5. Step 5: Solve for x
    x = 31,432,669,072.80/231,039.92
  6. Step 6: Final answer
    x = 136,048.65

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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.