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Finding the Fourth Proportional to 190,379.64, 285,583.62 and 57,249.24

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Solution

The fourth proportional to 190,379.64, 285,583.62 and 57,249.24 is: 85,878.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,379.64 : 285,583.62 = 57,249.24 : x
  2. Step 2: Convert to fraction form
    190,379.64/285,583.62 = 57,249.24/x
  3. Step 3: Cross multiply
    190,379.64x = 285,583.62 × 57,249.24
  4. Step 4: Simplify right side
    190,379.64x = 16,349,445,201.45
  5. Step 5: Solve for x
    x = 16,349,445,201.45/190,379.64
  6. Step 6: Final answer
    x = 85,878.12

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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.