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Finding the Fourth Proportional to 363,922.25, 545,966.46 and 111,238.70

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Solution

The fourth proportional to 363,922.25, 545,966.46 and 111,238.70 is: 166,883.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,922.25 : 545,966.46 = 111,238.70 : x
  2. Step 2: Convert to fraction form
    363,922.25/545,966.46 = 111,238.70/x
  3. Step 3: Cross multiply
    363,922.25x = 545,966.46 × 111,238.70
  4. Step 4: Simplify right side
    363,922.25x = 60,732,596,524.17
  5. Step 5: Solve for x
    x = 60,732,596,524.17/363,922.25
  6. Step 6: Final answer
    x = 166,883.44

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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.