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Finding the Fourth Proportional to 164,659.76, 227,216.52 and 96,669.44

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Solution

The fourth proportional to 164,659.76, 227,216.52 and 96,669.44 is: 133,395.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,659.76 : 227,216.52 = 96,669.44 : x
  2. Step 2: Convert to fraction form
    164,659.76/227,216.52 = 96,669.44/x
  3. Step 3: Cross multiply
    164,659.76x = 227,216.52 × 96,669.44
  4. Step 4: Simplify right side
    164,659.76x = 21,964,893,747.15
  5. Step 5: Solve for x
    x = 21,964,893,747.15/164,659.76
  6. Step 6: Final answer
    x = 133,395.64

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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.