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Finding the Fourth Proportional to 274,023.81, 410,002.16 and 161,765.10

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Solution

The fourth proportional to 274,023.81, 410,002.16 and 161,765.10 is: 242,037.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,023.81 : 410,002.16 = 161,765.10 : x
  2. Step 2: Convert to fraction form
    274,023.81/410,002.16 = 161,765.10/x
  3. Step 3: Cross multiply
    274,023.81x = 410,002.16 × 161,765.10
  4. Step 4: Simplify right side
    274,023.81x = 66,324,039,603.79
  5. Step 5: Solve for x
    x = 66,324,039,603.79/274,023.81
  6. Step 6: Final answer
    x = 242,037.51

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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.