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Finding the Fourth Proportional to 111,028.30, 166,214.40 and 97,906.30

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Solution

The fourth proportional to 111,028.30, 166,214.40 and 97,906.30 is: 146,570.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,028.30 : 166,214.40 = 97,906.30 : x
  2. Step 2: Convert to fraction form
    111,028.30/166,214.40 = 97,906.30/x
  3. Step 3: Cross multiply
    111,028.30x = 166,214.40 × 97,906.30
  4. Step 4: Simplify right side
    111,028.30x = 16,273,436,910.72
  5. Step 5: Solve for x
    x = 16,273,436,910.72/111,028.30
  6. Step 6: Final answer
    x = 146,570.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.