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Finding the Fourth Proportional to 186,821.20, 280,231.80 and 171,074.80

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Solution

The fourth proportional to 186,821.20, 280,231.80 and 171,074.80 is: 256,612.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,821.20 : 280,231.80 = 171,074.80 : x
  2. Step 2: Convert to fraction form
    186,821.20/280,231.80 = 171,074.80/x
  3. Step 3: Cross multiply
    186,821.20x = 280,231.80 × 171,074.80
  4. Step 4: Simplify right side
    186,821.20x = 47,940,599,138.64
  5. Step 5: Solve for x
    x = 47,940,599,138.64/186,821.20
  6. Step 6: Final answer
    x = 256,612.20

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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.