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Finding the Fourth Proportional to 277,692.94, 416,453.10 and 100,176.76

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Solution

The fourth proportional to 277,692.94, 416,453.10 and 100,176.76 is: 150,234.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,692.94 : 416,453.10 = 100,176.76 : x
  2. Step 2: Convert to fraction form
    277,692.94/416,453.10 = 100,176.76/x
  3. Step 3: Cross multiply
    277,692.94x = 416,453.10 × 100,176.76
  4. Step 4: Simplify right side
    277,692.94x = 41,718,922,249.96
  5. Step 5: Solve for x
    x = 41,718,922,249.96/277,692.94
  6. Step 6: Final answer
    x = 150,234.00

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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.