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Finding the Fourth Proportional to 165,673, 248,509.50 and 41,014

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Solution

The fourth proportional to 165,673, 248,509.50 and 41,014 is: 61,521

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,673 : 248,509.50 = 41,014 : x
  2. Step 2: Convert to fraction form
    165,673/248,509.50 = 41,014/x
  3. Step 3: Cross multiply
    165,673x = 248,509.50 × 41,014
  4. Step 4: Simplify right side
    165,673x = 10,192,368,633
  5. Step 5: Solve for x
    x = 10,192,368,633/165,673
  6. Step 6: Final answer
    x = 61,521

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.