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Finding the Fourth Proportional to 201,634.20, 302,451.30 and 164,309.40

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Solution

The fourth proportional to 201,634.20, 302,451.30 and 164,309.40 is: 246,464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,634.20 : 302,451.30 = 164,309.40 : x
  2. Step 2: Convert to fraction form
    201,634.20/302,451.30 = 164,309.40/x
  3. Step 3: Cross multiply
    201,634.20x = 302,451.30 × 164,309.40
  4. Step 4: Simplify right side
    201,634.20x = 49,695,591,632.22
  5. Step 5: Solve for x
    x = 49,695,591,632.22/201,634.20
  6. Step 6: Final answer
    x = 246,464.10

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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.