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Finding the Fourth Proportional to 309,715.52, 427,590.63 and 195,092.42

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Solution

The fourth proportional to 309,715.52, 427,590.63 and 195,092.42 is: 269,342.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,715.52 : 427,590.63 = 195,092.42 : x
  2. Step 2: Convert to fraction form
    309,715.52/427,590.63 = 195,092.42/x
  3. Step 3: Cross multiply
    309,715.52x = 427,590.63 × 195,092.42
  4. Step 4: Simplify right side
    309,715.52x = 83,419,690,776.02
  5. Step 5: Solve for x
    x = 83,419,690,776.02/309,715.52
  6. Step 6: Final answer
    x = 269,342.95

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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.