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Finding the Fourth Proportional to 164,999.39, 227,659.73 and 100,467.86

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Solution

The fourth proportional to 164,999.39, 227,659.73 and 100,467.86 is: 138,621.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,999.39 : 227,659.73 = 100,467.86 : x
  2. Step 2: Convert to fraction form
    164,999.39/227,659.73 = 100,467.86/x
  3. Step 3: Cross multiply
    164,999.39x = 227,659.73 × 100,467.86
  4. Step 4: Simplify right side
    164,999.39x = 22,872,484,240.64
  5. Step 5: Solve for x
    x = 22,872,484,240.64/164,999.39
  6. Step 6: Final answer
    x = 138,621.63

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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.