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Finding the Fourth Proportional to 164,608.65, 227,178.37 and 92,993.28

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Solution

The fourth proportional to 164,608.65, 227,178.37 and 92,993.28 is: 128,341.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,608.65 : 227,178.37 = 92,993.28 : x
  2. Step 2: Convert to fraction form
    164,608.65/227,178.37 = 92,993.28/x
  3. Step 3: Cross multiply
    164,608.65x = 227,178.37 × 92,993.28
  4. Step 4: Simplify right side
    164,608.65x = 21,126,061,306.39
  5. Step 5: Solve for x
    x = 21,126,061,306.39/164,608.65
  6. Step 6: Final answer
    x = 128,341.14

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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.