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Finding the Fourth Proportional to 199,448.86, 299,171 and 57,297.62

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Solution

The fourth proportional to 199,448.86, 299,171 and 57,297.62 is: 85,945.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,448.86 : 299,171 = 57,297.62 : x
  2. Step 2: Convert to fraction form
    199,448.86/299,171 = 57,297.62/x
  3. Step 3: Cross multiply
    199,448.86x = 299,171 × 57,297.62
  4. Step 4: Simplify right side
    199,448.86x = 17,141,786,273.02
  5. Step 5: Solve for x
    x = 17,141,786,273.02/199,448.86
  6. Step 6: Final answer
    x = 85,945.77

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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.