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Finding the Fourth Proportional to 164,650, 227,219.43 and 89,198.50

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Solution

The fourth proportional to 164,650, 227,219.43 and 89,198.50 is: 123,095.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,650 : 227,219.43 = 89,198.50 : x
  2. Step 2: Convert to fraction form
    164,650/227,219.43 = 89,198.50/x
  3. Step 3: Cross multiply
    164,650x = 227,219.43 × 89,198.50
  4. Step 4: Simplify right side
    164,650x = 20,267,632,326.86
  5. Step 5: Solve for x
    x = 20,267,632,326.86/164,650
  6. Step 6: Final answer
    x = 123,095.25

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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.