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Finding the Fourth Proportional to 194,893.83, 292,105.31 and 94,904.19

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Solution

The fourth proportional to 194,893.83, 292,105.31 and 94,904.19 is: 142,241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,893.83 : 292,105.31 = 94,904.19 : x
  2. Step 2: Convert to fraction form
    194,893.83/292,105.31 = 94,904.19/x
  3. Step 3: Cross multiply
    194,893.83x = 292,105.31 × 94,904.19
  4. Step 4: Simplify right side
    194,893.83x = 27,722,017,365.73
  5. Step 5: Solve for x
    x = 27,722,017,365.73/194,893.83
  6. Step 6: Final answer
    x = 142,241.64

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Why These Related Problems?

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