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Finding the Fourth Proportional to 278,224.23, 383,950.11 and 150,899.83

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Solution

The fourth proportional to 278,224.23, 383,950.11 and 150,899.83 is: 208,242.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,224.23 : 383,950.11 = 150,899.83 : x
  2. Step 2: Convert to fraction form
    278,224.23/383,950.11 = 150,899.83/x
  3. Step 3: Cross multiply
    278,224.23x = 383,950.11 × 150,899.83
  4. Step 4: Simplify right side
    278,224.23x = 57,938,006,327.48
  5. Step 5: Solve for x
    x = 57,938,006,327.48/278,224.23
  6. Step 6: Final answer
    x = 208,242.13

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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.