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Finding the Fourth Proportional to 164,711.16, 227,301.39 and 89,259.66

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Solution

The fourth proportional to 164,711.16, 227,301.39 and 89,259.66 is: 123,178.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,711.16 : 227,301.39 = 89,259.66 : x
  2. Step 2: Convert to fraction form
    164,711.16/227,301.39 = 89,259.66/x
  3. Step 3: Cross multiply
    164,711.16x = 227,301.39 × 89,259.66
  4. Step 4: Simplify right side
    164,711.16x = 20,288,844,788.93
  5. Step 5: Solve for x
    x = 20,288,844,788.93/164,711.16
  6. Step 6: Final answer
    x = 123,178.32

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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.