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Finding the Fourth Proportional to 225,976.60, 312,260.30 and 164,616

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Solution

The fourth proportional to 225,976.60, 312,260.30 and 164,616 is: 227,470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,976.60 : 312,260.30 = 164,616 : x
  2. Step 2: Convert to fraction form
    225,976.60/312,260.30 = 164,616/x
  3. Step 3: Cross multiply
    225,976.60x = 312,260.30 × 164,616
  4. Step 4: Simplify right side
    225,976.60x = 51,403,041,544.80
  5. Step 5: Solve for x
    x = 51,403,041,544.80/225,976.60
  6. Step 6: Final answer
    x = 227,470.64

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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.