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Finding the Fourth Proportional to 111,293.22, 166,908.78 and 47,229.54

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Solution

The fourth proportional to 111,293.22, 166,908.78 and 47,229.54 is: 70,831.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,293.22 : 166,908.78 = 47,229.54 : x
  2. Step 2: Convert to fraction form
    111,293.22/166,908.78 = 47,229.54/x
  3. Step 3: Cross multiply
    111,293.22x = 166,908.78 × 47,229.54
  4. Step 4: Simplify right side
    111,293.22x = 7,883,024,901.36
  5. Step 5: Solve for x
    x = 7,883,024,901.36/111,293.22
  6. Step 6: Final answer
    x = 70,831.13

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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.