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Finding the Fourth Proportional to 164,042.74, 226,379.78 and 92,423.90

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Solution

The fourth proportional to 164,042.74, 226,379.78 and 92,423.90 is: 127,545.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,042.74 : 226,379.78 = 92,423.90 : x
  2. Step 2: Convert to fraction form
    164,042.74/226,379.78 = 92,423.90/x
  3. Step 3: Cross multiply
    164,042.74x = 226,379.78 × 92,423.90
  4. Step 4: Simplify right side
    164,042.74x = 20,922,902,148.74
  5. Step 5: Solve for x
    x = 20,922,902,148.74/164,042.74
  6. Step 6: Final answer
    x = 127,545.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.