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Finding the Fourth Proportional to 150,885.47, 208,225.40 and 82,906.67

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Solution

The fourth proportional to 150,885.47, 208,225.40 and 82,906.67 is: 114,413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,885.47 : 208,225.40 = 82,906.67 : x
  2. Step 2: Convert to fraction form
    150,885.47/208,225.40 = 82,906.67/x
  3. Step 3: Cross multiply
    150,885.47x = 208,225.40 × 82,906.67
  4. Step 4: Simplify right side
    150,885.47x = 17,263,273,067.76
  5. Step 5: Solve for x
    x = 17,263,273,067.76/150,885.47
  6. Step 6: Final answer
    x = 114,413.10

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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.