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Finding the Fourth Proportional to 199,348.44, 299,022.64 and 136,829.40

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Solution

The fourth proportional to 199,348.44, 299,022.64 and 136,829.40 is: 205,244.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,348.44 : 299,022.64 = 136,829.40 : x
  2. Step 2: Convert to fraction form
    199,348.44/299,022.64 = 136,829.40/x
  3. Step 3: Cross multiply
    199,348.44x = 299,022.64 × 136,829.40
  4. Step 4: Simplify right side
    199,348.44x = 40,915,088,417.62
  5. Step 5: Solve for x
    x = 40,915,088,417.62/199,348.44
  6. Step 6: Final answer
    x = 205,244.09

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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.