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Finding the Fourth Proportional to 267,009, 368,473.50 and 147,777

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Solution

The fourth proportional to 267,009, 368,473.50 and 147,777 is: 203,932.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,009 : 368,473.50 = 147,777 : x
  2. Step 2: Convert to fraction form
    267,009/368,473.50 = 147,777/x
  3. Step 3: Cross multiply
    267,009x = 368,473.50 × 147,777
  4. Step 4: Simplify right side
    267,009x = 54,451,908,409.50
  5. Step 5: Solve for x
    x = 54,451,908,409.50/267,009
  6. Step 6: Final answer
    x = 203,932.86

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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.