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Finding the Fourth Proportional to 111,258.84, 166,906.38 and 36,357.24

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Solution

The fourth proportional to 111,258.84, 166,906.38 and 36,357.24 is: 54,541.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,258.84 : 166,906.38 = 36,357.24 : x
  2. Step 2: Convert to fraction form
    111,258.84/166,906.38 = 36,357.24/x
  3. Step 3: Cross multiply
    111,258.84x = 166,906.38 × 36,357.24
  4. Step 4: Simplify right side
    111,258.84x = 6,068,255,315.19
  5. Step 5: Solve for x
    x = 6,068,255,315.19/111,258.84
  6. Step 6: Final answer
    x = 54,541.78

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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.