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Finding the Fourth Proportional to 321,034.96, 481,686.84 and 141,027.54

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Solution

The fourth proportional to 321,034.96, 481,686.84 and 141,027.54 is: 211,600.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,034.96 : 481,686.84 = 141,027.54 : x
  2. Step 2: Convert to fraction form
    321,034.96/481,686.84 = 141,027.54/x
  3. Step 3: Cross multiply
    321,034.96x = 481,686.84 × 141,027.54
  4. Step 4: Simplify right side
    321,034.96x = 67,931,107,687.14
  5. Step 5: Solve for x
    x = 67,931,107,687.14/321,034.96
  6. Step 6: Final answer
    x = 211,600.34

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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.