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Finding the Fourth Proportional to 317,083.74, 475,698.81 and 106,716.54

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Solution

The fourth proportional to 317,083.74, 475,698.81 and 106,716.54 is: 160,099.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,083.74 : 475,698.81 = 106,716.54 : x
  2. Step 2: Convert to fraction form
    317,083.74/475,698.81 = 106,716.54/x
  3. Step 3: Cross multiply
    317,083.74x = 475,698.81 × 106,716.54
  4. Step 4: Simplify right side
    317,083.74x = 50,764,931,085.32
  5. Step 5: Solve for x
    x = 50,764,931,085.32/317,083.74
  6. Step 6: Final answer
    x = 160,099.45

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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.