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Finding the Fourth Proportional to 301,175.94, 415,626.66 and 165,201

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Solution

The fourth proportional to 301,175.94, 415,626.66 and 165,201 is: 227,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,175.94 : 415,626.66 = 165,201 : x
  2. Step 2: Convert to fraction form
    301,175.94/415,626.66 = 165,201/x
  3. Step 3: Cross multiply
    301,175.94x = 415,626.66 × 165,201
  4. Step 4: Simplify right side
    301,175.94x = 68,661,939,858.66
  5. Step 5: Solve for x
    x = 68,661,939,858.66/301,175.94
  6. Step 6: Final answer
    x = 227,979.50

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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.