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Finding the Fourth Proportional to 227,974.92, 314,643.66 and 154,353.96

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Solution

The fourth proportional to 227,974.92, 314,643.66 and 154,353.96 is: 213,034.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,974.92 : 314,643.66 = 154,353.96 : x
  2. Step 2: Convert to fraction form
    227,974.92/314,643.66 = 154,353.96/x
  3. Step 3: Cross multiply
    227,974.92x = 314,643.66 × 154,353.96
  4. Step 4: Simplify right side
    227,974.92x = 48,566,494,019.39
  5. Step 5: Solve for x
    x = 48,566,494,019.39/227,974.92
  6. Step 6: Final answer
    x = 213,034.37

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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.