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Finding the Fourth Proportional to 199,971.94, 300,068.62 and 119,812.92

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Solution

The fourth proportional to 199,971.94, 300,068.62 and 119,812.92 is: 179,785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,971.94 : 300,068.62 = 119,812.92 : x
  2. Step 2: Convert to fraction form
    199,971.94/300,068.62 = 119,812.92/x
  3. Step 3: Cross multiply
    199,971.94x = 300,068.62 × 119,812.92
  4. Step 4: Simplify right side
    199,971.94x = 35,952,097,562.57
  5. Step 5: Solve for x
    x = 35,952,097,562.57/199,971.94
  6. Step 6: Final answer
    x = 179,785.71

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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.