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Finding the Fourth Proportional to 164,905.32, 227,569.92 and 89,454.36

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Solution

The fourth proportional to 164,905.32, 227,569.92 and 89,454.36 is: 123,447.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,905.32 : 227,569.92 = 89,454.36 : x
  2. Step 2: Convert to fraction form
    164,905.32/227,569.92 = 89,454.36/x
  3. Step 3: Cross multiply
    164,905.32x = 227,569.92 × 89,454.36
  4. Step 4: Simplify right side
    164,905.32x = 20,357,121,548.85
  5. Step 5: Solve for x
    x = 20,357,121,548.85/164,905.32
  6. Step 6: Final answer
    x = 123,447.33

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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.