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Finding the Fourth Proportional to 164,969, 227,657.83 and 89,517.50

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Solution

The fourth proportional to 164,969, 227,657.83 and 89,517.50 is: 123,534.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,969 : 227,657.83 = 89,517.50 : x
  2. Step 2: Convert to fraction form
    164,969/227,657.83 = 89,517.50/x
  3. Step 3: Cross multiply
    164,969x = 227,657.83 × 89,517.50
  4. Step 4: Simplify right side
    164,969x = 20,379,359,573.23
  5. Step 5: Solve for x
    x = 20,379,359,573.23/164,969
  6. Step 6: Final answer
    x = 123,534.48

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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.