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Finding the Fourth Proportional to 199,709.17, 299,563.80 and 49,949.48

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Solution

The fourth proportional to 199,709.17, 299,563.80 and 49,949.48 is: 74,924.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,709.17 : 299,563.80 = 49,949.48 : x
  2. Step 2: Convert to fraction form
    199,709.17/299,563.80 = 49,949.48/x
  3. Step 3: Cross multiply
    199,709.17x = 299,563.80 × 49,949.48
  4. Step 4: Simplify right side
    199,709.17x = 14,963,055,100.69
  5. Step 5: Solve for x
    x = 14,963,055,100.69/199,709.17
  6. Step 6: Final answer
    x = 74,924.23

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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.