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Finding the Fourth Proportional to 164,356.97, 226,816.16 and 90,769.17

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Solution

The fourth proportional to 164,356.97, 226,816.16 and 90,769.17 is: 125,263.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,356.97 : 226,816.16 = 90,769.17 : x
  2. Step 2: Convert to fraction form
    164,356.97/226,816.16 = 90,769.17/x
  3. Step 3: Cross multiply
    164,356.97x = 226,816.16 × 90,769.17
  4. Step 4: Simplify right side
    164,356.97x = 20,587,913,564.90
  5. Step 5: Solve for x
    x = 20,587,913,564.90/164,356.97
  6. Step 6: Final answer
    x = 125,263.41

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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.