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Finding the Fourth Proportional to 199,859.66, 299,782.34 and 50,101.18

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Solution

The fourth proportional to 199,859.66, 299,782.34 and 50,101.18 is: 75,149.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,859.66 : 299,782.34 = 50,101.18 : x
  2. Step 2: Convert to fraction form
    199,859.66/299,782.34 = 50,101.18/x
  3. Step 3: Cross multiply
    199,859.66x = 299,782.34 × 50,101.18
  4. Step 4: Simplify right side
    199,859.66x = 15,019,448,977.16
  5. Step 5: Solve for x
    x = 15,019,448,977.16/199,859.66
  6. Step 6: Final answer
    x = 75,149.98

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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.