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Finding the Fourth Proportional to 277,716.12, 416,488.02 and 100,200.12

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Solution

The fourth proportional to 277,716.12, 416,488.02 and 100,200.12 is: 150,269.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,716.12 : 416,488.02 = 100,200.12 : x
  2. Step 2: Convert to fraction form
    277,716.12/416,488.02 = 100,200.12/x
  3. Step 3: Cross multiply
    277,716.12x = 416,488.02 × 100,200.12
  4. Step 4: Simplify right side
    277,716.12x = 41,732,149,582.56
  5. Step 5: Solve for x
    x = 41,732,149,582.56/277,716.12
  6. Step 6: Final answer
    x = 150,269.09

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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.