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Finding the Fourth Proportional to 164,959.32, 227,643.86 and 89,507.82

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Solution

The fourth proportional to 164,959.32, 227,643.86 and 89,507.82 is: 123,520.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,959.32 : 227,643.86 = 89,507.82 : x
  2. Step 2: Convert to fraction form
    164,959.32/227,643.86 = 89,507.82/x
  3. Step 3: Cross multiply
    164,959.32x = 227,643.86 × 89,507.82
  4. Step 4: Simplify right side
    164,959.32x = 20,375,904,059.23
  5. Step 5: Solve for x
    x = 20,375,904,059.23/164,959.32
  6. Step 6: Final answer
    x = 123,520.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.