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Finding the Fourth Proportional to 182,012.80, 273,019.20 and 171,644.80

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Solution

The fourth proportional to 182,012.80, 273,019.20 and 171,644.80 is: 257,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,012.80 : 273,019.20 = 171,644.80 : x
  2. Step 2: Convert to fraction form
    182,012.80/273,019.20 = 171,644.80/x
  3. Step 3: Cross multiply
    182,012.80x = 273,019.20 × 171,644.80
  4. Step 4: Simplify right side
    182,012.80x = 46,862,325,980.16
  5. Step 5: Solve for x
    x = 46,862,325,980.16/182,012.80
  6. Step 6: Final answer
    x = 257,467.20

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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.