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Finding the Fourth Proportional to 164,926.81, 227,620.44 and 92,357.33

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Solution

The fourth proportional to 164,926.81, 227,620.44 and 92,357.33 is: 127,465.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,926.81 : 227,620.44 = 92,357.33 : x
  2. Step 2: Convert to fraction form
    164,926.81/227,620.44 = 92,357.33/x
  3. Step 3: Cross multiply
    164,926.81x = 227,620.44 × 92,357.33
  4. Step 4: Simplify right side
    164,926.81x = 21,022,416,660.88
  5. Step 5: Solve for x
    x = 21,022,416,660.88/164,926.81
  6. Step 6: Final answer
    x = 127,465.13

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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.