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Finding the Fourth Proportional to 278,731.38, 384,651.32 and 151,406.94

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Solution

The fourth proportional to 278,731.38, 384,651.32 and 151,406.94 is: 208,942.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,731.38 : 384,651.32 = 151,406.94 : x
  2. Step 2: Convert to fraction form
    278,731.38/384,651.32 = 151,406.94/x
  3. Step 3: Cross multiply
    278,731.38x = 384,651.32 × 151,406.94
  4. Step 4: Simplify right side
    278,731.38x = 58,238,878,571.13
  5. Step 5: Solve for x
    x = 58,238,878,571.13/278,731.38
  6. Step 6: Final answer
    x = 208,942.67

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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.