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Finding the Fourth Proportional to 285,006.24, 427,100.40 and 160,084.32

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Solution

The fourth proportional to 285,006.24, 427,100.40 and 160,084.32 is: 239,896.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,006.24 : 427,100.40 = 160,084.32 : x
  2. Step 2: Convert to fraction form
    285,006.24/427,100.40 = 160,084.32/x
  3. Step 3: Cross multiply
    285,006.24x = 427,100.40 × 160,084.32
  4. Step 4: Simplify right side
    285,006.24x = 68,372,077,105.73
  5. Step 5: Solve for x
    x = 68,372,077,105.73/285,006.24
  6. Step 6: Final answer
    x = 239,896.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.