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Finding the Fourth Proportional to 218,187.92, 301,097.44 and 122,692.58

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Solution

The fourth proportional to 218,187.92, 301,097.44 and 122,692.58 is: 169,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,187.92 : 301,097.44 = 122,692.58 : x
  2. Step 2: Convert to fraction form
    218,187.92/301,097.44 = 122,692.58/x
  3. Step 3: Cross multiply
    218,187.92x = 301,097.44 × 122,692.58
  4. Step 4: Simplify right side
    218,187.92x = 36,942,421,745.00
  5. Step 5: Solve for x
    x = 36,942,421,745.00/218,187.92
  6. Step 6: Final answer
    x = 169,314.70

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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.