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Finding the Fourth Proportional to 199,055.82, 297,843.74 and 119,133.72

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Solution

The fourth proportional to 199,055.82, 297,843.74 and 119,133.72 is: 178,257.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,055.82 : 297,843.74 = 119,133.72 : x
  2. Step 2: Convert to fraction form
    199,055.82/297,843.74 = 119,133.72/x
  3. Step 3: Cross multiply
    199,055.82x = 297,843.74 × 119,133.72
  4. Step 4: Simplify right side
    199,055.82x = 35,483,232,724.91
  5. Step 5: Solve for x
    x = 35,483,232,724.91/199,055.82
  6. Step 6: Final answer
    x = 178,257.70

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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.