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Finding the Fourth Proportional to 215,840.30, 323,760.45 and 137,108.30

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Solution

The fourth proportional to 215,840.30, 323,760.45 and 137,108.30 is: 205,662.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,840.30 : 323,760.45 = 137,108.30 : x
  2. Step 2: Convert to fraction form
    215,840.30/323,760.45 = 137,108.30/x
  3. Step 3: Cross multiply
    215,840.30x = 323,760.45 × 137,108.30
  4. Step 4: Simplify right side
    215,840.30x = 44,390,244,906.74
  5. Step 5: Solve for x
    x = 44,390,244,906.74/215,840.30
  6. Step 6: Final answer
    x = 205,662.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.