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Finding the Fourth Proportional to 208,580.88, 312,795 and 75,429.20

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Solution

The fourth proportional to 208,580.88, 312,795 and 75,429.20 is: 113,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,580.88 : 312,795 = 75,429.20 : x
  2. Step 2: Convert to fraction form
    208,580.88/312,795 = 75,429.20/x
  3. Step 3: Cross multiply
    208,580.88x = 312,795 × 75,429.20
  4. Step 4: Simplify right side
    208,580.88x = 23,593,876,614
  5. Step 5: Solve for x
    x = 23,593,876,614/208,580.88
  6. Step 6: Final answer
    x = 113,116.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.