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Finding the Fourth Proportional to 190,900.40, 286,350.60 and 106,919.60

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Solution

The fourth proportional to 190,900.40, 286,350.60 and 106,919.60 is: 160,379.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,900.40 : 286,350.60 = 106,919.60 : x
  2. Step 2: Convert to fraction form
    190,900.40/286,350.60 = 106,919.60/x
  3. Step 3: Cross multiply
    190,900.40x = 286,350.60 × 106,919.60
  4. Step 4: Simplify right side
    190,900.40x = 30,616,491,611.76
  5. Step 5: Solve for x
    x = 30,616,491,611.76/190,900.40
  6. Step 6: Final answer
    x = 160,379.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.