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Finding the Fourth Proportional to 278,083.64, 383,775.09 and 157,226.10

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Solution

The fourth proportional to 278,083.64, 383,775.09 and 157,226.10 is: 216,983.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,083.64 : 383,775.09 = 157,226.10 : x
  2. Step 2: Convert to fraction form
    278,083.64/383,775.09 = 157,226.10/x
  3. Step 3: Cross multiply
    278,083.64x = 383,775.09 × 157,226.10
  4. Step 4: Simplify right side
    278,083.64x = 60,339,460,677.85
  5. Step 5: Solve for x
    x = 60,339,460,677.85/278,083.64
  6. Step 6: Final answer
    x = 216,983.14

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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.