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Finding the Fourth Proportional to 164,998.08, 227,696.16 and 89,544.96

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Solution

The fourth proportional to 164,998.08, 227,696.16 and 89,544.96 is: 123,571.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,998.08 : 227,696.16 = 89,544.96 : x
  2. Step 2: Convert to fraction form
    164,998.08/227,696.16 = 89,544.96/x
  3. Step 3: Cross multiply
    164,998.08x = 227,696.16 × 89,544.96
  4. Step 4: Simplify right side
    164,998.08x = 20,389,043,539.35
  5. Step 5: Solve for x
    x = 20,389,043,539.35/164,998.08
  6. Step 6: Final answer
    x = 123,571.40

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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.