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Finding the Fourth Proportional to 412,182.09, 618,361.83 and 127,866.96

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Solution

The fourth proportional to 412,182.09, 618,361.83 and 127,866.96 is: 191,827.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,182.09 : 618,361.83 = 127,866.96 : x
  2. Step 2: Convert to fraction form
    412,182.09/618,361.83 = 127,866.96/x
  3. Step 3: Cross multiply
    412,182.09x = 618,361.83 × 127,866.96
  4. Step 4: Simplify right side
    412,182.09x = 79,068,047,382.14
  5. Step 5: Solve for x
    x = 79,068,047,382.14/412,182.09
  6. Step 6: Final answer
    x = 191,827.95

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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.