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Finding the Fourth Proportional to 412,168.20, 618,340.54 and 127,852.58

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Solution

The fourth proportional to 412,168.20, 618,340.54 and 127,852.58 is: 191,806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,168.20 : 618,340.54 = 127,852.58 : x
  2. Step 2: Convert to fraction form
    412,168.20/618,340.54 = 127,852.58/x
  3. Step 3: Cross multiply
    412,168.20x = 618,340.54 × 127,852.58
  4. Step 4: Simplify right side
    412,168.20x = 79,056,435,063.26
  5. Step 5: Solve for x
    x = 79,056,435,063.26/412,168.20
  6. Step 6: Final answer
    x = 191,806.25

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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.