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Finding the Fourth Proportional to 209,228.20, 313,842.30 and 138,879.40

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Solution

The fourth proportional to 209,228.20, 313,842.30 and 138,879.40 is: 208,319.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,228.20 : 313,842.30 = 138,879.40 : x
  2. Step 2: Convert to fraction form
    209,228.20/313,842.30 = 138,879.40/x
  3. Step 3: Cross multiply
    209,228.20x = 313,842.30 × 138,879.40
  4. Step 4: Simplify right side
    209,228.20x = 43,586,230,318.62
  5. Step 5: Solve for x
    x = 43,586,230,318.62/209,228.20
  6. Step 6: Final answer
    x = 208,319.10

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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.