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Finding the Fourth Proportional to 125,546.32, 188,319.06 and 78,832

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Solution

The fourth proportional to 125,546.32, 188,319.06 and 78,832 is: 118,247.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,546.32 : 188,319.06 = 78,832 : x
  2. Step 2: Convert to fraction form
    125,546.32/188,319.06 = 78,832/x
  3. Step 3: Cross multiply
    125,546.32x = 188,319.06 × 78,832
  4. Step 4: Simplify right side
    125,546.32x = 14,845,568,137.92
  5. Step 5: Solve for x
    x = 14,845,568,137.92/125,546.32
  6. Step 6: Final answer
    x = 118,247.74

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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.