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Finding the Fourth Proportional to 190,994.37, 286,393.01 and 85,723.26

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Solution

The fourth proportional to 190,994.37, 286,393.01 and 85,723.26 is: 128,540.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,994.37 : 286,393.01 = 85,723.26 : x
  2. Step 2: Convert to fraction form
    190,994.37/286,393.01 = 85,723.26/x
  3. Step 3: Cross multiply
    190,994.37x = 286,393.01 × 85,723.26
  4. Step 4: Simplify right side
    190,994.37x = 24,550,542,029.80
  5. Step 5: Solve for x
    x = 24,550,542,029.80/190,994.37
  6. Step 6: Final answer
    x = 128,540.66

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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.