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Finding the Fourth Proportional to 159,920, 220,709.04 and 92,852

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Solution

The fourth proportional to 159,920, 220,709.04 and 92,852 is: 128,147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,920 : 220,709.04 = 92,852 : x
  2. Step 2: Convert to fraction form
    159,920/220,709.04 = 92,852/x
  3. Step 3: Cross multiply
    159,920x = 220,709.04 × 92,852
  4. Step 4: Simplify right side
    159,920x = 20,493,275,782.08
  5. Step 5: Solve for x
    x = 20,493,275,782.08/159,920
  6. Step 6: Final answer
    x = 128,147.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.