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Finding the Fourth Proportional to 164,653.06, 227,219.79 and 89,201.38

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Solution

The fourth proportional to 164,653.06, 227,219.79 and 89,201.38 is: 123,097.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,653.06 : 227,219.79 = 89,201.38 : x
  2. Step 2: Convert to fraction form
    164,653.06/227,219.79 = 89,201.38/x
  3. Step 3: Cross multiply
    164,653.06x = 227,219.79 × 89,201.38
  4. Step 4: Simplify right side
    164,653.06x = 20,268,318,597.77
  5. Step 5: Solve for x
    x = 20,268,318,597.77/164,653.06
  6. Step 6: Final answer
    x = 123,097.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.