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Finding the Fourth Proportional to 190,468.90, 285,452.65 and 106,268.68

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Solution

The fourth proportional to 190,468.90, 285,452.65 and 106,268.68 is: 159,263.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,468.90 : 285,452.65 = 106,268.68 : x
  2. Step 2: Convert to fraction form
    190,468.90/285,452.65 = 106,268.68/x
  3. Step 3: Cross multiply
    190,468.90x = 285,452.65 × 106,268.68
  4. Step 4: Simplify right side
    190,468.90x = 30,334,674,359.40
  5. Step 5: Solve for x
    x = 30,334,674,359.40/190,468.90
  6. Step 6: Final answer
    x = 159,263.14

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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.