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Finding the Fourth Proportional to 309,714.95, 427,589.85 and 195,091.85

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Solution

The fourth proportional to 309,714.95, 427,589.85 and 195,091.85 is: 269,342.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,714.95 : 427,589.85 = 195,091.85 : x
  2. Step 2: Convert to fraction form
    309,714.95/427,589.85 = 195,091.85/x
  3. Step 3: Cross multiply
    309,714.95x = 427,589.85 × 195,091.85
  4. Step 4: Simplify right side
    309,714.95x = 83,419,294,877.72
  5. Step 5: Solve for x
    x = 83,419,294,877.72/309,714.95
  6. Step 6: Final answer
    x = 269,342.16

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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.