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Finding the Fourth Proportional to 301,908.69, 416,638.26 and 165,955.77

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Solution

The fourth proportional to 301,908.69, 416,638.26 and 165,955.77 is: 229,021.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,908.69 : 416,638.26 = 165,955.77 : x
  2. Step 2: Convert to fraction form
    301,908.69/416,638.26 = 165,955.77/x
  3. Step 3: Cross multiply
    301,908.69x = 416,638.26 × 165,955.77
  4. Step 4: Simplify right side
    301,908.69x = 69,143,523,249.76
  5. Step 5: Solve for x
    x = 69,143,523,249.76/301,908.69
  6. Step 6: Final answer
    x = 229,021.31

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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.