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Finding the Fourth Proportional to 216,166.33, 296,146.49 and 208,082.81

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Solution

The fourth proportional to 216,166.33, 296,146.49 and 208,082.81 is: 285,072.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,166.33 : 296,146.49 = 208,082.81 : x
  2. Step 2: Convert to fraction form
    216,166.33/296,146.49 = 208,082.81/x
  3. Step 3: Cross multiply
    216,166.33x = 296,146.49 × 208,082.81
  4. Step 4: Simplify right side
    216,166.33x = 61,622,993,810.84
  5. Step 5: Solve for x
    x = 61,622,993,810.84/216,166.33
  6. Step 6: Final answer
    x = 285,072.12

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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.