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Finding the Fourth Proportional to 164,657.72, 227,228.74 and 89,206.22

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Solution

The fourth proportional to 164,657.72, 227,228.74 and 89,206.22 is: 123,105.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,657.72 : 227,228.74 = 89,206.22 : x
  2. Step 2: Convert to fraction form
    164,657.72/227,228.74 = 89,206.22/x
  3. Step 3: Cross multiply
    164,657.72x = 227,228.74 × 89,206.22
  4. Step 4: Simplify right side
    164,657.72x = 20,270,215,611.60
  5. Step 5: Solve for x
    x = 20,270,215,611.60/164,657.72
  6. Step 6: Final answer
    x = 123,105.17

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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.