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Finding the Fourth Proportional to 139,633.20, 209,449.80 and 139,633.20

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Solution

The fourth proportional to 139,633.20, 209,449.80 and 139,633.20 is: 209,449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,633.20 : 209,449.80 = 139,633.20 : x
  2. Step 2: Convert to fraction form
    139,633.20/209,449.80 = 139,633.20/x
  3. Step 3: Cross multiply
    139,633.20x = 209,449.80 × 139,633.20
  4. Step 4: Simplify right side
    139,633.20x = 29,246,145,813.36
  5. Step 5: Solve for x
    x = 29,246,145,813.36/139,633.20
  6. Step 6: Final answer
    x = 209,449.80

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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.