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Finding the Fourth Proportional to 190,796.92, 286,195.38 and 66,137.92

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Solution

The fourth proportional to 190,796.92, 286,195.38 and 66,137.92 is: 99,206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,796.92 : 286,195.38 = 66,137.92 : x
  2. Step 2: Convert to fraction form
    190,796.92/286,195.38 = 66,137.92/x
  3. Step 3: Cross multiply
    190,796.92x = 286,195.38 × 66,137.92
  4. Step 4: Simplify right side
    190,796.92x = 18,928,367,146.81
  5. Step 5: Solve for x
    x = 18,928,367,146.81/190,796.92
  6. Step 6: Final answer
    x = 99,206.88

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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.