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Finding the Fourth Proportional to 216,285.16, 296,305.70 and 208,198.94

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Solution

The fourth proportional to 216,285.16, 296,305.70 and 208,198.94 is: 285,227.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,285.16 : 296,305.70 = 208,198.94 : x
  2. Step 2: Convert to fraction form
    216,285.16/296,305.70 = 208,198.94/x
  3. Step 3: Cross multiply
    216,285.16x = 296,305.70 × 208,198.94
  4. Step 4: Simplify right side
    216,285.16x = 61,690,532,655.96
  5. Step 5: Solve for x
    x = 61,690,532,655.96/216,285.16
  6. Step 6: Final answer
    x = 285,227.76

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.