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Finding the Fourth Proportional to 164,930.86, 227,626.04 and 92,361.38

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Solution

The fourth proportional to 164,930.86, 227,626.04 and 92,361.38 is: 127,470.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,930.86 : 227,626.04 = 92,361.38 : x
  2. Step 2: Convert to fraction form
    164,930.86/227,626.04 = 92,361.38/x
  3. Step 3: Cross multiply
    164,930.86x = 227,626.04 × 92,361.38
  4. Step 4: Simplify right side
    164,930.86x = 21,023,855,178.34
  5. Step 5: Solve for x
    x = 21,023,855,178.34/164,930.86
  6. Step 6: Final answer
    x = 127,470.72

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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.