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Finding the Fourth Proportional to 164,657.74, 227,227.92 and 89,206.24

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Solution

The fourth proportional to 164,657.74, 227,227.92 and 89,206.24 is: 123,104.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,657.74 : 227,227.92 = 89,206.24 : x
  2. Step 2: Convert to fraction form
    164,657.74/227,227.92 = 89,206.24/x
  3. Step 3: Cross multiply
    164,657.74x = 227,227.92 × 89,206.24
  4. Step 4: Simplify right side
    164,657.74x = 20,270,148,366.22
  5. Step 5: Solve for x
    x = 20,270,148,366.22/164,657.74
  6. Step 6: Final answer
    x = 123,104.74

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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.