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Finding the Fourth Proportional to 270,843.18, 373,763.25 and 149,984.32

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Solution

The fourth proportional to 270,843.18, 373,763.25 and 149,984.32 is: 206,978.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,843.18 : 373,763.25 = 149,984.32 : x
  2. Step 2: Convert to fraction form
    270,843.18/373,763.25 = 149,984.32/x
  3. Step 3: Cross multiply
    270,843.18x = 373,763.25 × 149,984.32
  4. Step 4: Simplify right side
    270,843.18x = 56,058,628,053.01
  5. Step 5: Solve for x
    x = 56,058,628,053.01/270,843.18
  6. Step 6: Final answer
    x = 206,978.18

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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.