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Finding the Fourth Proportional to 208,121.84, 312,277.56 and 88,211.60

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Solution

The fourth proportional to 208,121.84, 312,277.56 and 88,211.60 is: 132,357.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,121.84 : 312,277.56 = 88,211.60 : x
  2. Step 2: Convert to fraction form
    208,121.84/312,277.56 = 88,211.60/x
  3. Step 3: Cross multiply
    208,121.84x = 312,277.56 × 88,211.60
  4. Step 4: Simplify right side
    208,121.84x = 27,546,503,211.70
  5. Step 5: Solve for x
    x = 27,546,503,211.70/208,121.84
  6. Step 6: Final answer
    x = 132,357.58

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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.