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Finding the Fourth Proportional to 190,150.57, 285,506.21 and 106,075

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Solution

The fourth proportional to 190,150.57, 285,506.21 and 106,075 is: 159,268.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,150.57 : 285,506.21 = 106,075 : x
  2. Step 2: Convert to fraction form
    190,150.57/285,506.21 = 106,075/x
  3. Step 3: Cross multiply
    190,150.57x = 285,506.21 × 106,075
  4. Step 4: Simplify right side
    190,150.57x = 30,285,071,225.75
  5. Step 5: Solve for x
    x = 30,285,071,225.75/190,150.57
  6. Step 6: Final answer
    x = 159,268.90

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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.