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Finding the Fourth Proportional to 208,280.41, 287,211.96 and 178,165.42

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Solution

The fourth proportional to 208,280.41, 287,211.96 and 178,165.42 is: 245,684.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,280.41 : 287,211.96 = 178,165.42 : x
  2. Step 2: Convert to fraction form
    208,280.41/287,211.96 = 178,165.42/x
  3. Step 3: Cross multiply
    208,280.41x = 287,211.96 × 178,165.42
  4. Step 4: Simplify right side
    208,280.41x = 51,171,239,791.53
  5. Step 5: Solve for x
    x = 51,171,239,791.53/208,280.41
  6. Step 6: Final answer
    x = 245,684.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.