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Finding the Fourth Proportional to 208,517.78, 287,756.07 and 113,025.17

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Solution

The fourth proportional to 208,517.78, 287,756.07 and 113,025.17 is: 155,975.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,517.78 : 287,756.07 = 113,025.17 : x
  2. Step 2: Convert to fraction form
    208,517.78/287,756.07 = 113,025.17/x
  3. Step 3: Cross multiply
    208,517.78x = 287,756.07 × 113,025.17
  4. Step 4: Simplify right side
    208,517.78x = 32,523,678,730.28
  5. Step 5: Solve for x
    x = 32,523,678,730.28/208,517.78
  6. Step 6: Final answer
    x = 155,975.57

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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.