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Finding the Fourth Proportional to 187,218.20, 280,827.30 and 180,219.80

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Solution

The fourth proportional to 187,218.20, 280,827.30 and 180,219.80 is: 270,329.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,218.20 : 280,827.30 = 180,219.80 : x
  2. Step 2: Convert to fraction form
    187,218.20/280,827.30 = 180,219.80/x
  3. Step 3: Cross multiply
    187,218.20x = 280,827.30 × 180,219.80
  4. Step 4: Simplify right side
    187,218.20x = 50,610,639,840.54
  5. Step 5: Solve for x
    x = 50,610,639,840.54/187,218.20
  6. Step 6: Final answer
    x = 270,329.70

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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.