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Finding the Fourth Proportional to 164,902.50, 227,566.67 and 89,451

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Solution

The fourth proportional to 164,902.50, 227,566.67 and 89,451 is: 123,443.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,902.50 : 227,566.67 = 89,451 : x
  2. Step 2: Convert to fraction form
    164,902.50/227,566.67 = 89,451/x
  3. Step 3: Cross multiply
    164,902.50x = 227,566.67 × 89,451
  4. Step 4: Simplify right side
    164,902.50x = 20,356,065,750.92
  5. Step 5: Solve for x
    x = 20,356,065,750.92/164,902.50
  6. Step 6: Final answer
    x = 123,443.04

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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.