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Finding the Fourth Proportional to 164,690.52, 227,185.16 and 100,179.48

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Solution

The fourth proportional to 164,690.52, 227,185.16 and 100,179.48 is: 138,194.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,690.52 : 227,185.16 = 100,179.48 : x
  2. Step 2: Convert to fraction form
    164,690.52/227,185.16 = 100,179.48/x
  3. Step 3: Cross multiply
    164,690.52x = 227,185.16 × 100,179.48
  4. Step 4: Simplify right side
    164,690.52x = 22,759,291,543.56
  5. Step 5: Solve for x
    x = 22,759,291,543.56/164,690.52
  6. Step 6: Final answer
    x = 138,194.31

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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.