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Finding the Fourth Proportional to 193,814.44, 290,844.80 and 100,320.24

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Solution

The fourth proportional to 193,814.44, 290,844.80 and 100,320.24 is: 150,544.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,814.44 : 290,844.80 = 100,320.24 : x
  2. Step 2: Convert to fraction form
    193,814.44/290,844.80 = 100,320.24/x
  3. Step 3: Cross multiply
    193,814.44x = 290,844.80 × 100,320.24
  4. Step 4: Simplify right side
    193,814.44x = 29,177,620,138.75
  5. Step 5: Solve for x
    x = 29,177,620,138.75/193,814.44
  6. Step 6: Final answer
    x = 150,544.10

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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.