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Finding the Fourth Proportional to 209,956.20, 314,934.30 and 201,791.40

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Solution

The fourth proportional to 209,956.20, 314,934.30 and 201,791.40 is: 302,687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,956.20 : 314,934.30 = 201,791.40 : x
  2. Step 2: Convert to fraction form
    209,956.20/314,934.30 = 201,791.40/x
  3. Step 3: Cross multiply
    209,956.20x = 314,934.30 × 201,791.40
  4. Step 4: Simplify right side
    209,956.20x = 63,551,033,305.02
  5. Step 5: Solve for x
    x = 63,551,033,305.02/209,956.20
  6. Step 6: Final answer
    x = 302,687.10

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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.