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Finding the Fourth Proportional to 211,083.40, 315,933.90 and 164,081.80

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Solution

The fourth proportional to 211,083.40, 315,933.90 and 164,081.80 is: 245,585.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,083.40 : 315,933.90 = 164,081.80 : x
  2. Step 2: Convert to fraction form
    211,083.40/315,933.90 = 164,081.80/x
  3. Step 3: Cross multiply
    211,083.40x = 315,933.90 × 164,081.80
  4. Step 4: Simplify right side
    211,083.40x = 51,839,002,993.02
  5. Step 5: Solve for x
    x = 51,839,002,993.02/211,083.40
  6. Step 6: Final answer
    x = 245,585.41

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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.