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Finding the Fourth Proportional to 196,102.40, 294,114.86 and 53,910.98

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Solution

The fourth proportional to 196,102.40, 294,114.86 and 53,910.98 is: 80,855.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,102.40 : 294,114.86 = 53,910.98 : x
  2. Step 2: Convert to fraction form
    196,102.40/294,114.86 = 53,910.98/x
  3. Step 3: Cross multiply
    196,102.40x = 294,114.86 × 53,910.98
  4. Step 4: Simplify right side
    196,102.40x = 15,856,020,335.16
  5. Step 5: Solve for x
    x = 15,856,020,335.16/196,102.40
  6. Step 6: Final answer
    x = 80,855.82

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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.