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Finding the Fourth Proportional to 267,006, 368,469.36 and 147,774

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Solution

The fourth proportional to 267,006, 368,469.36 and 147,774 is: 203,928.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,006 : 368,469.36 = 147,774 : x
  2. Step 2: Convert to fraction form
    267,006/368,469.36 = 147,774/x
  3. Step 3: Cross multiply
    267,006x = 368,469.36 × 147,774
  4. Step 4: Simplify right side
    267,006x = 54,450,191,204.64
  5. Step 5: Solve for x
    x = 54,450,191,204.64/267,006
  6. Step 6: Final answer
    x = 203,928.72

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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.