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Finding the Fourth Proportional to 256,210.35, 384,107.81 and 106,562.67

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Solution

The fourth proportional to 256,210.35, 384,107.81 and 106,562.67 is: 159,757.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,210.35 : 384,107.81 = 106,562.67 : x
  2. Step 2: Convert to fraction form
    256,210.35/384,107.81 = 106,562.67/x
  3. Step 3: Cross multiply
    256,210.35x = 384,107.81 × 106,562.67
  4. Step 4: Simplify right side
    256,210.35x = 40,931,554,067.86
  5. Step 5: Solve for x
    x = 40,931,554,067.86/256,210.35
  6. Step 6: Final answer
    x = 159,757.61

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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.