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Finding the Fourth Proportional to 300,092.40, 414,166.72 and 172,773.36

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Solution

The fourth proportional to 300,092.40, 414,166.72 and 172,773.36 is: 238,449.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,092.40 : 414,166.72 = 172,773.36 : x
  2. Step 2: Convert to fraction form
    300,092.40/414,166.72 = 172,773.36/x
  3. Step 3: Cross multiply
    300,092.40x = 414,166.72 × 172,773.36
  4. Step 4: Simplify right side
    300,092.40x = 71,556,975,814.58
  5. Step 5: Solve for x
    x = 71,556,975,814.58/300,092.40
  6. Step 6: Final answer
    x = 238,449.81

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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.