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Finding the Fourth Proportional to 412,169.01, 618,291.33 and 127,861.74

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Solution

The fourth proportional to 412,169.01, 618,291.33 and 127,861.74 is: 191,804.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,169.01 : 618,291.33 = 127,861.74 : x
  2. Step 2: Convert to fraction form
    412,169.01/618,291.33 = 127,861.74/x
  3. Step 3: Cross multiply
    412,169.01x = 618,291.33 × 127,861.74
  4. Step 4: Simplify right side
    412,169.01x = 79,055,804,801.23
  5. Step 5: Solve for x
    x = 79,055,804,801.23/412,169.01
  6. Step 6: Final answer
    x = 191,804.34

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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.