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Finding the Fourth Proportional to 187,219.20, 280,828.80 and 82,243.20

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Solution

The fourth proportional to 187,219.20, 280,828.80 and 82,243.20 is: 123,364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,219.20 : 280,828.80 = 82,243.20 : x
  2. Step 2: Convert to fraction form
    187,219.20/280,828.80 = 82,243.20/x
  3. Step 3: Cross multiply
    187,219.20x = 280,828.80 × 82,243.20
  4. Step 4: Simplify right side
    187,219.20x = 23,096,259,164.16
  5. Step 5: Solve for x
    x = 23,096,259,164.16/187,219.20
  6. Step 6: Final answer
    x = 123,364.80

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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.