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Finding the Fourth Proportional to 225,976.82, 312,260.65 and 164,616.22

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Solution

The fourth proportional to 225,976.82, 312,260.65 and 164,616.22 is: 227,470.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,976.82 : 312,260.65 = 164,616.22 : x
  2. Step 2: Convert to fraction form
    225,976.82/312,260.65 = 164,616.22/x
  3. Step 3: Cross multiply
    225,976.82x = 312,260.65 × 164,616.22
  4. Step 4: Simplify right side
    225,976.82x = 51,403,167,857.74
  5. Step 5: Solve for x
    x = 51,403,167,857.74/225,976.82
  6. Step 6: Final answer
    x = 227,470.98

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1.5x scale

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.