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Finding the Fourth Proportional to 267,270.78, 368,817.84 and 146,388

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Solution

The fourth proportional to 267,270.78, 368,817.84 and 146,388 is: 202,006.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,270.78 : 368,817.84 = 146,388 : x
  2. Step 2: Convert to fraction form
    267,270.78/368,817.84 = 146,388/x
  3. Step 3: Cross multiply
    267,270.78x = 368,817.84 × 146,388
  4. Step 4: Simplify right side
    267,270.78x = 53,990,505,961.92
  5. Step 5: Solve for x
    x = 53,990,505,961.92/267,270.78
  6. Step 6: Final answer
    x = 202,006.77

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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.