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Finding the Fourth Proportional to 278,442.14, 384,238.52 and 157,590.11

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Solution

The fourth proportional to 278,442.14, 384,238.52 and 157,590.11 is: 217,467.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,442.14 : 384,238.52 = 157,590.11 : x
  2. Step 2: Convert to fraction form
    278,442.14/384,238.52 = 157,590.11/x
  3. Step 3: Cross multiply
    278,442.14x = 384,238.52 × 157,590.11
  4. Step 4: Simplify right side
    278,442.14x = 60,552,189,235.30
  5. Step 5: Solve for x
    x = 60,552,189,235.30/278,442.14
  6. Step 6: Final answer
    x = 217,467.76

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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.