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Finding the Fourth Proportional to 203,424.30, 305,136.45 and 194,785.65

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Solution

The fourth proportional to 203,424.30, 305,136.45 and 194,785.65 is: 292,178.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,424.30 : 305,136.45 = 194,785.65 : x
  2. Step 2: Convert to fraction form
    203,424.30/305,136.45 = 194,785.65/x
  3. Step 3: Cross multiply
    203,424.30x = 305,136.45 × 194,785.65
  4. Step 4: Simplify right side
    203,424.30x = 59,436,201,751.94
  5. Step 5: Solve for x
    x = 59,436,201,751.94/203,424.30
  6. Step 6: Final answer
    x = 292,178.48

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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.