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Finding the Fourth Proportional to 278,104.68, 383,580.54 and 182,576.52

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Solution

The fourth proportional to 278,104.68, 383,580.54 and 182,576.52 is: 251,821.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,104.68 : 383,580.54 = 182,576.52 : x
  2. Step 2: Convert to fraction form
    278,104.68/383,580.54 = 182,576.52/x
  3. Step 3: Cross multiply
    278,104.68x = 383,580.54 × 182,576.52
  4. Step 4: Simplify right side
    278,104.68x = 70,032,800,132.92
  5. Step 5: Solve for x
    x = 70,032,800,132.92/278,104.68
  6. Step 6: Final answer
    x = 251,821.72

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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.