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Finding the Fourth Proportional to 166,442.50, 229,691.46 and 90,991

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Solution

The fourth proportional to 166,442.50, 229,691.46 and 90,991 is: 125,568.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,442.50 : 229,691.46 = 90,991 : x
  2. Step 2: Convert to fraction form
    166,442.50/229,691.46 = 90,991/x
  3. Step 3: Cross multiply
    166,442.50x = 229,691.46 × 90,991
  4. Step 4: Simplify right side
    166,442.50x = 20,899,855,636.86
  5. Step 5: Solve for x
    x = 20,899,855,636.86/166,442.50
  6. Step 6: Final answer
    x = 125,568.02

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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.