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Finding the Fourth Proportional to 123,313.68, 185,035.32 and 67,194

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Solution

The fourth proportional to 123,313.68, 185,035.32 and 67,194 is: 100,826.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,313.68 : 185,035.32 = 67,194 : x
  2. Step 2: Convert to fraction form
    123,313.68/185,035.32 = 67,194/x
  3. Step 3: Cross multiply
    123,313.68x = 185,035.32 × 67,194
  4. Step 4: Simplify right side
    123,313.68x = 12,433,263,292.08
  5. Step 5: Solve for x
    x = 12,433,263,292.08/123,313.68
  6. Step 6: Final answer
    x = 100,826.31

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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.