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Finding the Fourth Proportional to 187,215.20, 280,822.80 and 180,216.80

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Solution

The fourth proportional to 187,215.20, 280,822.80 and 180,216.80 is: 270,325.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,215.20 : 280,822.80 = 180,216.80 : x
  2. Step 2: Convert to fraction form
    187,215.20/280,822.80 = 180,216.80/x
  3. Step 3: Cross multiply
    187,215.20x = 280,822.80 × 180,216.80
  4. Step 4: Simplify right side
    187,215.20x = 50,608,986,383.04
  5. Step 5: Solve for x
    x = 50,608,986,383.04/187,215.20
  6. Step 6: Final answer
    x = 270,325.20

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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.