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Finding the Fourth Proportional to 267,106.32, 400,672.80 and 80,100

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Solution

The fourth proportional to 267,106.32, 400,672.80 and 80,100 is: 120,153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,106.32 : 400,672.80 = 80,100 : x
  2. Step 2: Convert to fraction form
    267,106.32/400,672.80 = 80,100/x
  3. Step 3: Cross multiply
    267,106.32x = 400,672.80 × 80,100
  4. Step 4: Simplify right side
    267,106.32x = 32,093,891,280
  5. Step 5: Solve for x
    x = 32,093,891,280/267,106.32
  6. Step 6: Final answer
    x = 120,153.99

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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.