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Finding the Fourth Proportional to 111,054.54, 166,655.56 and 51,894.78

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Solution

The fourth proportional to 111,054.54, 166,655.56 and 51,894.78 is: 77,876.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,054.54 : 166,655.56 = 51,894.78 : x
  2. Step 2: Convert to fraction form
    111,054.54/166,655.56 = 51,894.78/x
  3. Step 3: Cross multiply
    111,054.54x = 166,655.56 × 51,894.78
  4. Step 4: Simplify right side
    111,054.54x = 8,648,553,621.98
  5. Step 5: Solve for x
    x = 8,648,553,621.98/111,054.54
  6. Step 6: Final answer
    x = 77,876.63

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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.