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Finding the Fourth Proportional to 267,206.56, 368,811.60 and 154,097.44

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Solution

The fourth proportional to 267,206.56, 368,811.60 and 154,097.44 is: 212,692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,206.56 : 368,811.60 = 154,097.44 : x
  2. Step 2: Convert to fraction form
    267,206.56/368,811.60 = 154,097.44/x
  3. Step 3: Cross multiply
    267,206.56x = 368,811.60 × 154,097.44
  4. Step 4: Simplify right side
    267,206.56x = 56,832,923,402.30
  5. Step 5: Solve for x
    x = 56,832,923,402.30/267,206.56
  6. Step 6: Final answer
    x = 212,692.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.