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Finding the Fourth Proportional to 280,110.30, 420,165.45 and 201,378.30

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Solution

The fourth proportional to 280,110.30, 420,165.45 and 201,378.30 is: 302,067.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,110.30 : 420,165.45 = 201,378.30 : x
  2. Step 2: Convert to fraction form
    280,110.30/420,165.45 = 201,378.30/x
  3. Step 3: Cross multiply
    280,110.30x = 420,165.45 × 201,378.30
  4. Step 4: Simplify right side
    280,110.30x = 84,612,204,039.74
  5. Step 5: Solve for x
    x = 84,612,204,039.74/280,110.30
  6. Step 6: Final answer
    x = 302,067.45

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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.