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Finding the Fourth Proportional to 199,816.52, 299,717.87 and 50,058.09

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Solution

The fourth proportional to 199,816.52, 299,717.87 and 50,058.09 is: 75,085.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,816.52 : 299,717.87 = 50,058.09 : x
  2. Step 2: Convert to fraction form
    199,816.52/299,717.87 = 50,058.09/x
  3. Step 3: Cross multiply
    199,816.52x = 299,717.87 × 50,058.09
  4. Step 4: Simplify right side
    199,816.52x = 15,003,303,860.78
  5. Step 5: Solve for x
    x = 15,003,303,860.78/199,816.52
  6. Step 6: Final answer
    x = 75,085.40

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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.