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Finding the Fourth Proportional to 209,906.20, 314,859.30 and 168,434.20

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Solution

The fourth proportional to 209,906.20, 314,859.30 and 168,434.20 is: 252,651.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,906.20 : 314,859.30 = 168,434.20 : x
  2. Step 2: Convert to fraction form
    209,906.20/314,859.30 = 168,434.20/x
  3. Step 3: Cross multiply
    209,906.20x = 314,859.30 × 168,434.20
  4. Step 4: Simplify right side
    209,906.20x = 53,033,074,308.06
  5. Step 5: Solve for x
    x = 53,033,074,308.06/209,906.20
  6. Step 6: Final answer
    x = 252,651.30

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1.5x scale

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.