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Finding the Fourth Proportional to 203,752.20, 305,045.10 and 180,424.20

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Solution

The fourth proportional to 203,752.20, 305,045.10 and 180,424.20 is: 270,119.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,752.20 : 305,045.10 = 180,424.20 : x
  2. Step 2: Convert to fraction form
    203,752.20/305,045.10 = 180,424.20/x
  3. Step 3: Cross multiply
    203,752.20x = 305,045.10 × 180,424.20
  4. Step 4: Simplify right side
    203,752.20x = 55,037,518,131.42
  5. Step 5: Solve for x
    x = 55,037,518,131.42/203,752.20
  6. Step 6: Final answer
    x = 270,119.87

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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.