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Finding the Fourth Proportional to 185,576.96, 278,015.52 and 143,819.84

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Solution

The fourth proportional to 185,576.96, 278,015.52 and 143,819.84 is: 215,458.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,576.96 : 278,015.52 = 143,819.84 : x
  2. Step 2: Convert to fraction form
    185,576.96/278,015.52 = 143,819.84/x
  3. Step 3: Cross multiply
    185,576.96x = 278,015.52 × 143,819.84
  4. Step 4: Simplify right side
    185,576.96x = 39,984,147,603.92
  5. Step 5: Solve for x
    x = 39,984,147,603.92/185,576.96
  6. Step 6: Final answer
    x = 215,458.58

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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.