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Finding the Fourth Proportional to 301,497.15, 416,067.93 and 165,537.03

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Solution

The fourth proportional to 301,497.15, 416,067.93 and 165,537.03 is: 228,442.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,497.15 : 416,067.93 = 165,537.03 : x
  2. Step 2: Convert to fraction form
    301,497.15/416,067.93 = 165,537.03/x
  3. Step 3: Cross multiply
    301,497.15x = 416,067.93 × 165,537.03
  4. Step 4: Simplify right side
    301,497.15x = 68,874,649,410.45
  5. Step 5: Solve for x
    x = 68,874,649,410.45/301,497.15
  6. Step 6: Final answer
    x = 228,442.12

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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.