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Finding the Fourth Proportional to 150,022.82, 224,917.44 and 75,104.40

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Solution

The fourth proportional to 150,022.82, 224,917.44 and 75,104.40 is: 112,598.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,022.82 : 224,917.44 = 75,104.40 : x
  2. Step 2: Convert to fraction form
    150,022.82/224,917.44 = 75,104.40/x
  3. Step 3: Cross multiply
    150,022.82x = 224,917.44 × 75,104.40
  4. Step 4: Simplify right side
    150,022.82x = 16,892,289,380.74
  5. Step 5: Solve for x
    x = 16,892,289,380.74/150,022.82
  6. Step 6: Final answer
    x = 112,598.13

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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.