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Finding the Fourth Proportional to 164,662.74, 227,234.84 and 89,211.24

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Solution

The fourth proportional to 164,662.74, 227,234.84 and 89,211.24 is: 123,111.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,662.74 : 227,234.84 = 89,211.24 : x
  2. Step 2: Convert to fraction form
    164,662.74/227,234.84 = 89,211.24/x
  3. Step 3: Cross multiply
    164,662.74x = 227,234.84 × 89,211.24
  4. Step 4: Simplify right side
    164,662.74x = 20,271,901,401.55
  5. Step 5: Solve for x
    x = 20,271,901,401.55/164,662.74
  6. Step 6: Final answer
    x = 123,111.65

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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.