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Finding the Fourth Proportional to 199,344.94, 299,017.41 and 136,825.90

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Solution

The fourth proportional to 199,344.94, 299,017.41 and 136,825.90 is: 205,238.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,344.94 : 299,017.41 = 136,825.90 : x
  2. Step 2: Convert to fraction form
    199,344.94/299,017.41 = 136,825.90/x
  3. Step 3: Cross multiply
    199,344.94x = 299,017.41 × 136,825.90
  4. Step 4: Simplify right side
    199,344.94x = 40,913,326,238.92
  5. Step 5: Solve for x
    x = 40,913,326,238.92/199,344.94
  6. Step 6: Final answer
    x = 205,238.85

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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.