Home / 209,181.24-313,427-120,509.32

Finding the Fourth Proportional to 209,181.24, 313,427 and 120,509.32

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Solution

The fourth proportional to 209,181.24, 313,427 and 120,509.32 is: 180,565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,181.24 : 313,427 = 120,509.32 : x
  2. Step 2: Convert to fraction form
    209,181.24/313,427 = 120,509.32/x
  3. Step 3: Cross multiply
    209,181.24x = 313,427 × 120,509.32
  4. Step 4: Simplify right side
    209,181.24x = 37,770,874,639.64
  5. Step 5: Solve for x
    x = 37,770,874,639.64/209,181.24
  6. Step 6: Final answer
    x = 180,565.31

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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.