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Finding the Fourth Proportional to 190,296, 262,954.89 and 181,072.32

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Solution

The fourth proportional to 190,296, 262,954.89 and 181,072.32 is: 250,209.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,296 : 262,954.89 = 181,072.32 : x
  2. Step 2: Convert to fraction form
    190,296/262,954.89 = 181,072.32/x
  3. Step 3: Cross multiply
    190,296x = 262,954.89 × 181,072.32
  4. Step 4: Simplify right side
    190,296x = 47,613,851,987.64
  5. Step 5: Solve for x
    x = 47,613,851,987.64/190,296
  6. Step 6: Final answer
    x = 250,209.42

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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.