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Finding the Fourth Proportional to 139,065.50, 191,943.60 and 82,509.68

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Solution

The fourth proportional to 139,065.50, 191,943.60 and 82,509.68 is: 113,883.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,065.50 : 191,943.60 = 82,509.68 : x
  2. Step 2: Convert to fraction form
    139,065.50/191,943.60 = 82,509.68/x
  3. Step 3: Cross multiply
    139,065.50x = 191,943.60 × 82,509.68
  4. Step 4: Simplify right side
    139,065.50x = 15,837,205,014.05
  5. Step 5: Solve for x
    x = 15,837,205,014.05/139,065.50
  6. Step 6: Final answer
    x = 113,883.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.