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Finding the Fourth Proportional to 208,589.87, 287,851.43 and 113,096.34

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Solution

The fourth proportional to 208,589.87, 287,851.43 and 113,096.34 is: 156,071.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,589.87 : 287,851.43 = 113,096.34 : x
  2. Step 2: Convert to fraction form
    208,589.87/287,851.43 = 113,096.34/x
  3. Step 3: Cross multiply
    208,589.87x = 287,851.43 × 113,096.34
  4. Step 4: Simplify right side
    208,589.87x = 32,554,943,196.77
  5. Step 5: Solve for x
    x = 32,554,943,196.77/208,589.87
  6. Step 6: Final answer
    x = 156,071.54

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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.