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Finding the Fourth Proportional to 209,214.20, 313,821.30 and 201,049.40

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Solution

The fourth proportional to 209,214.20, 313,821.30 and 201,049.40 is: 301,574.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,214.20 : 313,821.30 = 201,049.40 : x
  2. Step 2: Convert to fraction form
    209,214.20/313,821.30 = 201,049.40/x
  3. Step 3: Cross multiply
    209,214.20x = 313,821.30 × 201,049.40
  4. Step 4: Simplify right side
    209,214.20x = 63,093,584,072.22
  5. Step 5: Solve for x
    x = 63,093,584,072.22/209,214.20
  6. Step 6: Final answer
    x = 301,574.10

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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.