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Finding the Fourth Proportional to 412,100.94, 618,240.20 and 127,785.75

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Solution

The fourth proportional to 412,100.94, 618,240.20 and 127,785.75 is: 191,706.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,100.94 : 618,240.20 = 127,785.75 : x
  2. Step 2: Convert to fraction form
    412,100.94/618,240.20 = 127,785.75/x
  3. Step 3: Cross multiply
    412,100.94x = 618,240.20 × 127,785.75
  4. Step 4: Simplify right side
    412,100.94x = 79,002,286,998.22
  5. Step 5: Solve for x
    x = 79,002,286,998.22/412,100.94
  6. Step 6: Final answer
    x = 191,706.16

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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.