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Finding the Fourth Proportional to 265,868, 397,865.22 and 166,075.19

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Solution

The fourth proportional to 265,868, 397,865.22 and 166,075.19 is: 248,527.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,868 : 397,865.22 = 166,075.19 : x
  2. Step 2: Convert to fraction form
    265,868/397,865.22 = 166,075.19/x
  3. Step 3: Cross multiply
    265,868x = 397,865.22 × 166,075.19
  4. Step 4: Simplify right side
    265,868x = 66,075,542,005.89
  5. Step 5: Solve for x
    x = 66,075,542,005.89/265,868
  6. Step 6: Final answer
    x = 248,527.62

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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.