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Finding the Fourth Proportional to 208,517.70, 287,755.04 and 113,024.77

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Solution

The fourth proportional to 208,517.70, 287,755.04 and 113,024.77 is: 155,974.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,517.70 : 287,755.04 = 113,024.77 : x
  2. Step 2: Convert to fraction form
    208,517.70/287,755.04 = 113,024.77/x
  3. Step 3: Cross multiply
    208,517.70x = 287,755.04 × 113,024.77
  4. Step 4: Simplify right side
    208,517.70x = 32,523,447,212.34
  5. Step 5: Solve for x
    x = 32,523,447,212.34/208,517.70
  6. Step 6: Final answer
    x = 155,974.52

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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.