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Finding the Fourth Proportional to 278,050.70, 383,712.70 and 150,725.98

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Solution

The fourth proportional to 278,050.70, 383,712.70 and 150,725.98 is: 208,003.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,050.70 : 383,712.70 = 150,725.98 : x
  2. Step 2: Convert to fraction form
    278,050.70/383,712.70 = 150,725.98/x
  3. Step 3: Cross multiply
    278,050.70x = 383,712.70 × 150,725.98
  4. Step 4: Simplify right side
    278,050.70x = 57,835,472,745.95
  5. Step 5: Solve for x
    x = 57,835,472,745.95/278,050.70
  6. Step 6: Final answer
    x = 208,003.33

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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.