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Finding the Fourth Proportional to 267,180.83, 400,797.57 and 77,642.85

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Solution

The fourth proportional to 267,180.83, 400,797.57 and 77,642.85 is: 116,471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,180.83 : 400,797.57 = 77,642.85 : x
  2. Step 2: Convert to fraction form
    267,180.83/400,797.57 = 77,642.85/x
  3. Step 3: Cross multiply
    267,180.83x = 400,797.57 × 77,642.85
  4. Step 4: Simplify right side
    267,180.83x = 31,119,065,607.87
  5. Step 5: Solve for x
    x = 31,119,065,607.87/267,180.83
  6. Step 6: Final answer
    x = 116,471.93

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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.