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Finding the Fourth Proportional to 767,168.66, 1,150,751.34 and 206,203.16

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Solution

The fourth proportional to 767,168.66, 1,150,751.34 and 206,203.16 is: 309,304.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,168.66 : 1,150,751.34 = 206,203.16 : x
  2. Step 2: Convert to fraction form
    767,168.66/1,150,751.34 = 206,203.16/x
  3. Step 3: Cross multiply
    767,168.66x = 1,150,751.34 × 206,203.16
  4. Step 4: Simplify right side
    767,168.66x = 237,288,562,682.23
  5. Step 5: Solve for x
    x = 237,288,562,682.23/767,168.66
  6. Step 6: Final answer
    x = 309,304.30

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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.