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Finding the Fourth Proportional to 139,891.22, 209,898.86 and 73,315.54

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Solution

The fourth proportional to 139,891.22, 209,898.86 and 73,315.54 is: 110,005.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,891.22 : 209,898.86 = 73,315.54 : x
  2. Step 2: Convert to fraction form
    139,891.22/209,898.86 = 73,315.54/x
  3. Step 3: Cross multiply
    139,891.22x = 209,898.86 × 73,315.54
  4. Step 4: Simplify right side
    139,891.22x = 15,388,848,266.28
  5. Step 5: Solve for x
    x = 15,388,848,266.28/139,891.22
  6. Step 6: Final answer
    x = 110,005.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.