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Finding the Fourth Proportional to 412,101.94, 618,241.70 and 127,786.75

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Solution

The fourth proportional to 412,101.94, 618,241.70 and 127,786.75 is: 191,707.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,101.94 : 618,241.70 = 127,786.75 : x
  2. Step 2: Convert to fraction form
    412,101.94/618,241.70 = 127,786.75/x
  3. Step 3: Cross multiply
    412,101.94x = 618,241.70 × 127,786.75
  4. Step 4: Simplify right side
    412,101.94x = 79,003,097,557.48
  5. Step 5: Solve for x
    x = 79,003,097,557.48/412,101.94
  6. Step 6: Final answer
    x = 191,707.66

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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.