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Finding the Fourth Proportional to 166,146.24, 229,278.24 and 90,696

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Solution

The fourth proportional to 166,146.24, 229,278.24 and 90,696 is: 125,158.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,146.24 : 229,278.24 = 90,696 : x
  2. Step 2: Convert to fraction form
    166,146.24/229,278.24 = 90,696/x
  3. Step 3: Cross multiply
    166,146.24x = 229,278.24 × 90,696
  4. Step 4: Simplify right side
    166,146.24x = 20,794,619,255.04
  5. Step 5: Solve for x
    x = 20,794,619,255.04/166,146.24
  6. Step 6: Final answer
    x = 125,158.53

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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.