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Finding the Fourth Proportional to 278,226.23, 383,952.87 and 150,901.83

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Solution

The fourth proportional to 278,226.23, 383,952.87 and 150,901.83 is: 208,244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,226.23 : 383,952.87 = 150,901.83 : x
  2. Step 2: Convert to fraction form
    278,226.23/383,952.87 = 150,901.83/x
  3. Step 3: Cross multiply
    278,226.23x = 383,952.87 × 150,901.83
  4. Step 4: Simplify right side
    278,226.23x = 57,939,190,716.75
  5. Step 5: Solve for x
    x = 57,939,190,716.75/278,226.23
  6. Step 6: Final answer
    x = 208,244.89

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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.