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Finding the Fourth Proportional to 190,406.86, 285,329.50 and 106,050.82

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Solution

The fourth proportional to 190,406.86, 285,329.50 and 106,050.82 is: 158,919.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,406.86 : 285,329.50 = 106,050.82 : x
  2. Step 2: Convert to fraction form
    190,406.86/285,329.50 = 106,050.82/x
  3. Step 3: Cross multiply
    190,406.86x = 285,329.50 × 106,050.82
  4. Step 4: Simplify right side
    190,406.86x = 30,259,427,445.19
  5. Step 5: Solve for x
    x = 30,259,427,445.19/190,406.86
  6. Step 6: Final answer
    x = 158,919.84

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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.