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Finding the Fourth Proportional to 321,114.17, 481,512.49 and 188,027.93

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Solution

The fourth proportional to 321,114.17, 481,512.49 and 188,027.93 is: 281,948.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,114.17 : 481,512.49 = 188,027.93 : x
  2. Step 2: Convert to fraction form
    321,114.17/481,512.49 = 188,027.93/x
  3. Step 3: Cross multiply
    321,114.17x = 481,512.49 × 188,027.93
  4. Step 4: Simplify right side
    321,114.17x = 90,537,796,763.85
  5. Step 5: Solve for x
    x = 90,537,796,763.85/321,114.17
  6. Step 6: Final answer
    x = 281,948.93

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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.