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Finding the Fourth Proportional to 235,384.32, 324,842.22 and 144,745.32

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Solution

The fourth proportional to 235,384.32, 324,842.22 and 144,745.32 is: 199,755.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,384.32 : 324,842.22 = 144,745.32 : x
  2. Step 2: Convert to fraction form
    235,384.32/324,842.22 = 144,745.32/x
  3. Step 3: Cross multiply
    235,384.32x = 324,842.22 × 144,745.32
  4. Step 4: Simplify right side
    235,384.32x = 47,019,391,083.41
  5. Step 5: Solve for x
    x = 47,019,391,083.41/235,384.32
  6. Step 6: Final answer
    x = 199,755.83

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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.