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Finding the Fourth Proportional to 208,524.26, 287,755.76 and 113,028.90

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Solution

The fourth proportional to 208,524.26, 287,755.76 and 113,028.90 is: 155,975.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,524.26 : 287,755.76 = 113,028.90 : x
  2. Step 2: Convert to fraction form
    208,524.26/287,755.76 = 113,028.90/x
  3. Step 3: Cross multiply
    208,524.26x = 287,755.76 × 113,028.90
  4. Step 4: Simplify right side
    208,524.26x = 32,524,717,207.79
  5. Step 5: Solve for x
    x = 32,524,717,207.79/208,524.26
  6. Step 6: Final answer
    x = 155,975.70

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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.