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Finding the Fourth Proportional to 278,237.56, 383,965.94 and 150,913.28

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Solution

The fourth proportional to 278,237.56, 383,965.94 and 150,913.28 is: 208,259.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,237.56 : 383,965.94 = 150,913.28 : x
  2. Step 2: Convert to fraction form
    278,237.56/383,965.94 = 150,913.28/x
  3. Step 3: Cross multiply
    278,237.56x = 383,965.94 × 150,913.28
  4. Step 4: Simplify right side
    278,237.56x = 57,945,559,413.68
  5. Step 5: Solve for x
    x = 57,945,559,413.68/278,237.56
  6. Step 6: Final answer
    x = 208,259.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.