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Finding the Fourth Proportional to 203,165.88, 280,444.14 and 122,596.80

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Solution

The fourth proportional to 203,165.88, 280,444.14 and 122,596.80 is: 169,228.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,165.88 : 280,444.14 = 122,596.80 : x
  2. Step 2: Convert to fraction form
    203,165.88/280,444.14 = 122,596.80/x
  3. Step 3: Cross multiply
    203,165.88x = 280,444.14 × 122,596.80
  4. Step 4: Simplify right side
    203,165.88x = 34,381,554,142.75
  5. Step 5: Solve for x
    x = 34,381,554,142.75/203,165.88
  6. Step 6: Final answer
    x = 169,228.98

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