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Finding the Fourth Proportional to 197,966.28, 296,950 and 48,206.54

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Solution

The fourth proportional to 197,966.28, 296,950 and 48,206.54 is: 72,309.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,966.28 : 296,950 = 48,206.54 : x
  2. Step 2: Convert to fraction form
    197,966.28/296,950 = 48,206.54/x
  3. Step 3: Cross multiply
    197,966.28x = 296,950 × 48,206.54
  4. Step 4: Simplify right side
    197,966.28x = 14,314,932,053
  5. Step 5: Solve for x
    x = 14,314,932,053/197,966.28
  6. Step 6: Final answer
    x = 72,309.95

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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.