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Finding the Fourth Proportional to 207,630.30, 311,791.05 and 114,203.10

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Solution

The fourth proportional to 207,630.30, 311,791.05 and 114,203.10 is: 171,494.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,630.30 : 311,791.05 = 114,203.10 : x
  2. Step 2: Convert to fraction form
    207,630.30/311,791.05 = 114,203.10/x
  3. Step 3: Cross multiply
    207,630.30x = 311,791.05 × 114,203.10
  4. Step 4: Simplify right side
    207,630.30x = 35,607,504,462.26
  5. Step 5: Solve for x
    x = 35,607,504,462.26/207,630.30
  6. Step 6: Final answer
    x = 171,494.74

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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.