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Finding the Fourth Proportional to 216,284.31, 296,304.53 and 208,198.08

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Solution

The fourth proportional to 216,284.31, 296,304.53 and 208,198.08 is: 285,226.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,284.31 : 296,304.53 = 208,198.08 : x
  2. Step 2: Convert to fraction form
    216,284.31/296,304.53 = 208,198.08/x
  3. Step 3: Cross multiply
    216,284.31x = 296,304.53 × 208,198.08
  4. Step 4: Simplify right side
    216,284.31x = 61,690,033,200.31
  5. Step 5: Solve for x
    x = 61,690,033,200.31/216,284.31
  6. Step 6: Final answer
    x = 285,226.58

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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.