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Finding the Fourth Proportional to 196,165, 294,248.22 and 48,421

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Solution

The fourth proportional to 196,165, 294,248.22 and 48,421 is: 72,631.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,165 : 294,248.22 = 48,421 : x
  2. Step 2: Convert to fraction form
    196,165/294,248.22 = 48,421/x
  3. Step 3: Cross multiply
    196,165x = 294,248.22 × 48,421
  4. Step 4: Simplify right side
    196,165x = 14,247,793,060.62
  5. Step 5: Solve for x
    x = 14,247,793,060.62/196,165
  6. Step 6: Final answer
    x = 72,631.68

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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.