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Finding the Fourth Proportional to 270,782.85, 373,694.13 and 149,937.47

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Solution

The fourth proportional to 270,782.85, 373,694.13 and 149,937.47 is: 206,921.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,782.85 : 373,694.13 = 149,937.47 : x
  2. Step 2: Convert to fraction form
    270,782.85/373,694.13 = 149,937.47/x
  3. Step 3: Cross multiply
    270,782.85x = 373,694.13 × 149,937.47
  4. Step 4: Simplify right side
    270,782.85x = 56,030,752,406.05
  5. Step 5: Solve for x
    x = 56,030,752,406.05/270,782.85
  6. Step 6: Final answer
    x = 206,921.35

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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.