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Finding the Fourth Proportional to 164,109.38, 226,384.15 and 113,034.27

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Solution

The fourth proportional to 164,109.38, 226,384.15 and 113,034.27 is: 155,927.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,109.38 : 226,384.15 = 113,034.27 : x
  2. Step 2: Convert to fraction form
    164,109.38/226,384.15 = 113,034.27/x
  3. Step 3: Cross multiply
    164,109.38x = 226,384.15 × 113,034.27
  4. Step 4: Simplify right side
    164,109.38x = 25,589,167,134.82
  5. Step 5: Solve for x
    x = 25,589,167,134.82/164,109.38
  6. Step 6: Final answer
    x = 155,927.51

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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.