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Finding the Fourth Proportional to 362,221.94, 543,217.53 and 119,006.54

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Solution

The fourth proportional to 362,221.94, 543,217.53 and 119,006.54 is: 178,471.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,221.94 : 543,217.53 = 119,006.54 : x
  2. Step 2: Convert to fraction form
    362,221.94/543,217.53 = 119,006.54/x
  3. Step 3: Cross multiply
    362,221.94x = 543,217.53 × 119,006.54
  4. Step 4: Simplify right side
    362,221.94x = 64,646,438,479.90
  5. Step 5: Solve for x
    x = 64,646,438,479.90/362,221.94
  6. Step 6: Final answer
    x = 178,471.90

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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.