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Finding the Fourth Proportional to 362,006.78, 542,982.83 and 148,716.57

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Solution

The fourth proportional to 362,006.78, 542,982.83 and 148,716.57 is: 223,063.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,006.78 : 542,982.83 = 148,716.57 : x
  2. Step 2: Convert to fraction form
    362,006.78/542,982.83 = 148,716.57/x
  3. Step 3: Cross multiply
    362,006.78x = 542,982.83 × 148,716.57
  4. Step 4: Simplify right side
    362,006.78x = 80,750,544,046.49
  5. Step 5: Solve for x
    x = 80,750,544,046.49/362,006.78
  6. Step 6: Final answer
    x = 223,063.62

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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.