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Finding the Fourth Proportional to 295,902.78, 408,337.62 and 166,840.13

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Solution

The fourth proportional to 295,902.78, 408,337.62 and 166,840.13 is: 230,234.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,902.78 : 408,337.62 = 166,840.13 : x
  2. Step 2: Convert to fraction form
    295,902.78/408,337.62 = 166,840.13/x
  3. Step 3: Cross multiply
    295,902.78x = 408,337.62 × 166,840.13
  4. Step 4: Simplify right side
    295,902.78x = 68,127,099,563.00
  5. Step 5: Solve for x
    x = 68,127,099,563.00/295,902.78
  6. Step 6: Final answer
    x = 230,234.74

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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.