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Finding the Fourth Proportional to 301,022.14, 415,415.37 and 165,068.50

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Solution

The fourth proportional to 301,022.14, 415,415.37 and 165,068.50 is: 227,797.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,022.14 : 415,415.37 = 165,068.50 : x
  2. Step 2: Convert to fraction form
    301,022.14/415,415.37 = 165,068.50/x
  3. Step 3: Cross multiply
    301,022.14x = 415,415.37 × 165,068.50
  4. Step 4: Simplify right side
    301,022.14x = 68,571,992,002.85
  5. Step 5: Solve for x
    x = 68,571,992,002.85/301,022.14
  6. Step 6: Final answer
    x = 227,797.17

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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.