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Finding the Fourth Proportional to 139,081.32, 191,906.56 and 81,730

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Solution

The fourth proportional to 139,081.32, 191,906.56 and 81,730 is: 112,772.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,081.32 : 191,906.56 = 81,730 : x
  2. Step 2: Convert to fraction form
    139,081.32/191,906.56 = 81,730/x
  3. Step 3: Cross multiply
    139,081.32x = 191,906.56 × 81,730
  4. Step 4: Simplify right side
    139,081.32x = 15,684,523,148.80
  5. Step 5: Solve for x
    x = 15,684,523,148.80/139,081.32
  6. Step 6: Final answer
    x = 112,772.32

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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.