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Finding the Fourth Proportional to 213,834.83, 295,007.94 and 137,343.22

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Solution

The fourth proportional to 213,834.83, 295,007.94 and 137,343.22 is: 189,479.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,834.83 : 295,007.94 = 137,343.22 : x
  2. Step 2: Convert to fraction form
    213,834.83/295,007.94 = 137,343.22/x
  3. Step 3: Cross multiply
    213,834.83x = 295,007.94 × 137,343.22
  4. Step 4: Simplify right side
    213,834.83x = 40,517,339,667.65
  5. Step 5: Solve for x
    x = 40,517,339,667.65/213,834.83
  6. Step 6: Final answer
    x = 189,479.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.