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Finding the Fourth Proportional to 267,116.23, 368,620.34 and 146,257.49

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Solution

The fourth proportional to 267,116.23, 368,620.34 and 146,257.49 is: 201,835.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,116.23 : 368,620.34 = 146,257.49 : x
  2. Step 2: Convert to fraction form
    267,116.23/368,620.34 = 146,257.49/x
  3. Step 3: Cross multiply
    267,116.23x = 368,620.34 × 146,257.49
  4. Step 4: Simplify right side
    267,116.23x = 53,913,485,691.35
  5. Step 5: Solve for x
    x = 53,913,485,691.35/267,116.23
  6. Step 6: Final answer
    x = 201,835.31

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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.