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Finding the Fourth Proportional to 203,611.68, 280,977.21 and 123,024.96

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Solution

The fourth proportional to 203,611.68, 280,977.21 and 123,024.96 is: 169,770.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,611.68 : 280,977.21 = 123,024.96 : x
  2. Step 2: Convert to fraction form
    203,611.68/280,977.21 = 123,024.96/x
  3. Step 3: Cross multiply
    203,611.68x = 280,977.21 × 123,024.96
  4. Step 4: Simplify right side
    203,611.68x = 34,567,210,021.16
  5. Step 5: Solve for x
    x = 34,567,210,021.16/203,611.68
  6. Step 6: Final answer
    x = 169,770.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.