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Finding the Fourth Proportional to 164,105.94, 226,463.04 and 92,484.54

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Solution

The fourth proportional to 164,105.94, 226,463.04 and 92,484.54 is: 127,626.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,105.94 : 226,463.04 = 92,484.54 : x
  2. Step 2: Convert to fraction form
    164,105.94/226,463.04 = 92,484.54/x
  3. Step 3: Cross multiply
    164,105.94x = 226,463.04 × 92,484.54
  4. Step 4: Simplify right side
    164,105.94x = 20,944,330,081.40
  5. Step 5: Solve for x
    x = 20,944,330,081.40/164,105.94
  6. Step 6: Final answer
    x = 127,626.89

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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.