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Finding the Fourth Proportional to 196,656.40, 294,961.88 and 54,512.24

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Solution

The fourth proportional to 196,656.40, 294,961.88 and 54,512.24 is: 81,762.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,656.40 : 294,961.88 = 54,512.24 : x
  2. Step 2: Convert to fraction form
    196,656.40/294,961.88 = 54,512.24/x
  3. Step 3: Cross multiply
    196,656.40x = 294,961.88 × 54,512.24
  4. Step 4: Simplify right side
    196,656.40x = 16,079,032,793.41
  5. Step 5: Solve for x
    x = 16,079,032,793.41/196,656.40
  6. Step 6: Final answer
    x = 81,762.06

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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.