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Finding the Fourth Proportional to 159,205.43, 219,794.51 and 105,563.35

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Solution

The fourth proportional to 159,205.43, 219,794.51 and 105,563.35 is: 145,737.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,205.43 : 219,794.51 = 105,563.35 : x
  2. Step 2: Convert to fraction form
    159,205.43/219,794.51 = 105,563.35/x
  3. Step 3: Cross multiply
    159,205.43x = 219,794.51 × 105,563.35
  4. Step 4: Simplify right side
    159,205.43x = 23,202,245,325.86
  5. Step 5: Solve for x
    x = 23,202,245,325.86/159,205.43
  6. Step 6: Final answer
    x = 145,737.77

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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.