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Finding the Fourth Proportional to 164,196.49, 226,590.81 and 92,576.02

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Solution

The fourth proportional to 164,196.49, 226,590.81 and 92,576.02 is: 127,754.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,196.49 : 226,590.81 = 92,576.02 : x
  2. Step 2: Convert to fraction form
    164,196.49/226,590.81 = 92,576.02/x
  3. Step 3: Cross multiply
    164,196.49x = 226,590.81 × 92,576.02
  4. Step 4: Simplify right side
    164,196.49x = 20,976,875,358.38
  5. Step 5: Solve for x
    x = 20,976,875,358.38/164,196.49
  6. Step 6: Final answer
    x = 127,754.71

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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.