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Finding the Fourth Proportional to 225,976.32, 312,259.96 and 164,615.72

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Solution

The fourth proportional to 225,976.32, 312,259.96 and 164,615.72 is: 227,470.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,976.32 : 312,259.96 = 164,615.72 : x
  2. Step 2: Convert to fraction form
    225,976.32/312,259.96 = 164,615.72/x
  3. Step 3: Cross multiply
    225,976.32x = 312,259.96 × 164,615.72
  4. Step 4: Simplify right side
    225,976.32x = 51,402,898,142.57
  5. Step 5: Solve for x
    x = 51,402,898,142.57/225,976.32
  6. Step 6: Final answer
    x = 227,470.29

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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.