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Finding the Fourth Proportional to 412,169.54, 618,182.93 and 123,977.01

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Solution

The fourth proportional to 412,169.54, 618,182.93 and 123,977.01 is: 185,944.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,169.54 : 618,182.93 = 123,977.01 : x
  2. Step 2: Convert to fraction form
    412,169.54/618,182.93 = 123,977.01/x
  3. Step 3: Cross multiply
    412,169.54x = 618,182.93 × 123,977.01
  4. Step 4: Simplify right side
    412,169.54x = 76,640,470,674.55
  5. Step 5: Solve for x
    x = 76,640,470,674.55/412,169.54
  6. Step 6: Final answer
    x = 185,944.05

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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.