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Finding the Fourth Proportional to 209,450.20, 314,175.30 and 125,469.40

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Solution

The fourth proportional to 209,450.20, 314,175.30 and 125,469.40 is: 188,204.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,450.20 : 314,175.30 = 125,469.40 : x
  2. Step 2: Convert to fraction form
    209,450.20/314,175.30 = 125,469.40/x
  3. Step 3: Cross multiply
    209,450.20x = 314,175.30 × 125,469.40
  4. Step 4: Simplify right side
    209,450.20x = 39,419,386,385.82
  5. Step 5: Solve for x
    x = 39,419,386,385.82/209,450.20
  6. Step 6: Final answer
    x = 188,204.10

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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.