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Finding the Fourth Proportional to 195,978.50, 270,442.50 and 115,409.42

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Solution

The fourth proportional to 195,978.50, 270,442.50 and 115,409.42 is: 159,260.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,978.50 : 270,442.50 = 115,409.42 : x
  2. Step 2: Convert to fraction form
    195,978.50/270,442.50 = 115,409.42/x
  3. Step 3: Cross multiply
    195,978.50x = 270,442.50 × 115,409.42
  4. Step 4: Simplify right side
    195,978.50x = 31,211,612,068.35
  5. Step 5: Solve for x
    x = 31,211,612,068.35/195,978.50
  6. Step 6: Final answer
    x = 159,260.39

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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.