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Finding the Fourth Proportional to 196,205, 294,310.30 and 55,963.68

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Solution

The fourth proportional to 196,205, 294,310.30 and 55,963.68 is: 83,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,205 : 294,310.30 = 55,963.68 : x
  2. Step 2: Convert to fraction form
    196,205/294,310.30 = 55,963.68/x
  3. Step 3: Cross multiply
    196,205x = 294,310.30 × 55,963.68
  4. Step 4: Simplify right side
    196,205x = 16,470,687,449.90
  5. Step 5: Solve for x
    x = 16,470,687,449.90/196,205
  6. Step 6: Final answer
    x = 83,946.32

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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.