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Finding the Fourth Proportional to 164,600.80, 227,141.62 and 103,378.61

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Solution

The fourth proportional to 164,600.80, 227,141.62 and 103,378.61 is: 142,657.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,600.80 : 227,141.62 = 103,378.61 : x
  2. Step 2: Convert to fraction form
    164,600.80/227,141.62 = 103,378.61/x
  3. Step 3: Cross multiply
    164,600.80x = 227,141.62 × 103,378.61
  4. Step 4: Simplify right side
    164,600.80x = 23,481,585,258.16
  5. Step 5: Solve for x
    x = 23,481,585,258.16/164,600.80
  6. Step 6: Final answer
    x = 142,657.79

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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.