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Finding the Fourth Proportional to 164,588.50, 227,132.13 and 89,137

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Solution

The fourth proportional to 164,588.50, 227,132.13 and 89,137 is: 123,009.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,588.50 : 227,132.13 = 89,137 : x
  2. Step 2: Convert to fraction form
    164,588.50/227,132.13 = 89,137/x
  3. Step 3: Cross multiply
    164,588.50x = 227,132.13 × 89,137
  4. Step 4: Simplify right side
    164,588.50x = 20,245,876,671.81
  5. Step 5: Solve for x
    x = 20,245,876,671.81/164,588.50
  6. Step 6: Final answer
    x = 123,009.06

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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.