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Finding the Fourth Proportional to 278,467.60, 384,285.60 and 151,143.20

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Solution

The fourth proportional to 278,467.60, 384,285.60 and 151,143.20 is: 208,577.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,467.60 : 384,285.60 = 151,143.20 : x
  2. Step 2: Convert to fraction form
    278,467.60/384,285.60 = 151,143.20/x
  3. Step 3: Cross multiply
    278,467.60x = 384,285.60 × 151,143.20
  4. Step 4: Simplify right side
    278,467.60x = 58,082,155,297.92
  5. Step 5: Solve for x
    x = 58,082,155,297.92/278,467.60
  6. Step 6: Final answer
    x = 208,577.79

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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.