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Finding the Fourth Proportional to 196,105.20, 294,160.68 and 48,361.20

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Solution

The fourth proportional to 196,105.20, 294,160.68 and 48,361.20 is: 72,542.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,105.20 : 294,160.68 = 48,361.20 : x
  2. Step 2: Convert to fraction form
    196,105.20/294,160.68 = 48,361.20/x
  3. Step 3: Cross multiply
    196,105.20x = 294,160.68 × 48,361.20
  4. Step 4: Simplify right side
    196,105.20x = 14,225,963,477.62
  5. Step 5: Solve for x
    x = 14,225,963,477.62/196,105.20
  6. Step 6: Final answer
    x = 72,542.51

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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.