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Finding the Fourth Proportional to 78,106, 117,134.78 and 28,179.62

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Solution

The fourth proportional to 78,106, 117,134.78 and 28,179.62 is: 42,260.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,106 : 117,134.78 = 28,179.62 : x
  2. Step 2: Convert to fraction form
    78,106/117,134.78 = 28,179.62/x
  3. Step 3: Cross multiply
    78,106x = 117,134.78 × 28,179.62
  4. Step 4: Simplify right side
    78,106x = 3,300,813,589.18
  5. Step 5: Solve for x
    x = 3,300,813,589.18/78,106
  6. Step 6: Final answer
    x = 42,260.69

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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.