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Finding the Fourth Proportional to 190,094.55, 285,105.54 and 56,974.80

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Solution

The fourth proportional to 190,094.55, 285,105.54 and 56,974.80 is: 85,451.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,094.55 : 285,105.54 = 56,974.80 : x
  2. Step 2: Convert to fraction form
    190,094.55/285,105.54 = 56,974.80/x
  3. Step 3: Cross multiply
    190,094.55x = 285,105.54 × 56,974.80
  4. Step 4: Simplify right side
    190,094.55x = 16,243,831,120.39
  5. Step 5: Solve for x
    x = 16,243,831,120.39/190,094.55
  6. Step 6: Final answer
    x = 85,451.32

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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.