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Finding the Fourth Proportional to 78,211.61, 117,334.50 and 28,286.50

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Solution

The fourth proportional to 78,211.61, 117,334.50 and 28,286.50 is: 42,435.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,211.61 : 117,334.50 = 28,286.50 : x
  2. Step 2: Convert to fraction form
    78,211.61/117,334.50 = 28,286.50/x
  3. Step 3: Cross multiply
    78,211.61x = 117,334.50 × 28,286.50
  4. Step 4: Simplify right side
    78,211.61x = 3,318,981,606.15
  5. Step 5: Solve for x
    x = 3,318,981,606.15/78,211.61
  6. Step 6: Final answer
    x = 42,435.92

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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.