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Finding the Fourth Proportional to 164,974.74, 227,768.32 and 113,380.71

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Solution

The fourth proportional to 164,974.74, 227,768.32 and 113,380.71 is: 156,536.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,974.74 : 227,768.32 = 113,380.71 : x
  2. Step 2: Convert to fraction form
    164,974.74/227,768.32 = 113,380.71/x
  3. Step 3: Cross multiply
    164,974.74x = 227,768.32 × 113,380.71
  4. Step 4: Simplify right side
    164,974.74x = 25,824,533,837.11
  5. Step 5: Solve for x
    x = 25,824,533,837.11/164,974.74
  6. Step 6: Final answer
    x = 156,536.29

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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.