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Finding the Fourth Proportional to 363,923.31, 545,983.23 and 111,196.88

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Solution

The fourth proportional to 363,923.31, 545,983.23 and 111,196.88 is: 166,825.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,923.31 : 545,983.23 = 111,196.88 : x
  2. Step 2: Convert to fraction form
    363,923.31/545,983.23 = 111,196.88/x
  3. Step 3: Cross multiply
    363,923.31x = 545,983.23 × 111,196.88
  4. Step 4: Simplify right side
    363,923.31x = 60,711,631,442.83
  5. Step 5: Solve for x
    x = 60,711,631,442.83/363,923.31
  6. Step 6: Final answer
    x = 166,825.34

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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.