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Finding the Fourth Proportional to 270,617.69, 373,443.21 and 149,764.07

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Solution

The fourth proportional to 270,617.69, 373,443.21 and 149,764.07 is: 206,669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,617.69 : 373,443.21 = 149,764.07 : x
  2. Step 2: Convert to fraction form
    270,617.69/373,443.21 = 149,764.07/x
  3. Step 3: Cross multiply
    270,617.69x = 373,443.21 × 149,764.07
  4. Step 4: Simplify right side
    270,617.69x = 55,928,373,176.25
  5. Step 5: Solve for x
    x = 55,928,373,176.25/270,617.69
  6. Step 6: Final answer
    x = 206,669.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.