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Finding the Fourth Proportional to 304,131.90, 419,665.38 and 168,147.48

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Solution

The fourth proportional to 304,131.90, 419,665.38 and 168,147.48 is: 232,023.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,131.90 : 419,665.38 = 168,147.48 : x
  2. Step 2: Convert to fraction form
    304,131.90/419,665.38 = 168,147.48/x
  3. Step 3: Cross multiply
    304,131.90x = 419,665.38 × 168,147.48
  4. Step 4: Simplify right side
    304,131.90x = 70,565,676,090.24
  5. Step 5: Solve for x
    x = 70,565,676,090.24/304,131.90
  6. Step 6: Final answer
    x = 232,023.26

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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.