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Finding the Fourth Proportional to 301,252.26, 415,713.15 and 172,186.86

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Solution

The fourth proportional to 301,252.26, 415,713.15 and 172,186.86 is: 237,609.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,252.26 : 415,713.15 = 172,186.86 : x
  2. Step 2: Convert to fraction form
    301,252.26/415,713.15 = 172,186.86/x
  3. Step 3: Cross multiply
    301,252.26x = 415,713.15 × 172,186.86
  4. Step 4: Simplify right side
    301,252.26x = 71,580,341,959.21
  5. Step 5: Solve for x
    x = 71,580,341,959.21/301,252.26
  6. Step 6: Final answer
    x = 237,609.31

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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.