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Finding the Fourth Proportional to 267,057, 368,538.66 and 147,825

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Solution

The fourth proportional to 267,057, 368,538.66 and 147,825 is: 203,998.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,057 : 368,538.66 = 147,825 : x
  2. Step 2: Convert to fraction form
    267,057/368,538.66 = 147,825/x
  3. Step 3: Cross multiply
    267,057x = 368,538.66 × 147,825
  4. Step 4: Simplify right side
    267,057x = 54,479,227,414.50
  5. Step 5: Solve for x
    x = 54,479,227,414.50/267,057
  6. Step 6: Final answer
    x = 203,998.50

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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.