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Finding the Fourth Proportional to 111,264.23, 166,906.64 and 36,384.80

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Solution

The fourth proportional to 111,264.23, 166,906.64 and 36,384.80 is: 54,580.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,264.23 : 166,906.64 = 36,384.80 : x
  2. Step 2: Convert to fraction form
    111,264.23/166,906.64 = 36,384.80/x
  3. Step 3: Cross multiply
    111,264.23x = 166,906.64 × 36,384.80
  4. Step 4: Simplify right side
    111,264.23x = 6,072,863,971.50
  5. Step 5: Solve for x
    x = 6,072,863,971.50/111,264.23
  6. Step 6: Final answer
    x = 54,580.56

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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.