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Finding the Fourth Proportional to 203,800.14, 305,415.45 and 173,656.98

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Solution

The fourth proportional to 203,800.14, 305,415.45 and 173,656.98 is: 260,242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,800.14 : 305,415.45 = 173,656.98 : x
  2. Step 2: Convert to fraction form
    203,800.14/305,415.45 = 173,656.98/x
  3. Step 3: Cross multiply
    203,800.14x = 305,415.45 × 173,656.98
  4. Step 4: Simplify right side
    203,800.14x = 53,037,524,692.34
  5. Step 5: Solve for x
    x = 53,037,524,692.34/203,800.14
  6. Step 6: Final answer
    x = 260,242.83

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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.