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Finding the Fourth Proportional to 164,469.92, 227,004 and 107,180.96

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Solution

The fourth proportional to 164,469.92, 227,004 and 107,180.96 is: 147,932.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,469.92 : 227,004 = 107,180.96 : x
  2. Step 2: Convert to fraction form
    164,469.92/227,004 = 107,180.96/x
  3. Step 3: Cross multiply
    164,469.92x = 227,004 × 107,180.96
  4. Step 4: Simplify right side
    164,469.92x = 24,330,506,643.84
  5. Step 5: Solve for x
    x = 24,330,506,643.84/164,469.92
  6. Step 6: Final answer
    x = 147,932.87

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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.