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Finding the Fourth Proportional to 159,348.22, 239,028.96 and 47,028.46

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Solution

The fourth proportional to 159,348.22, 239,028.96 and 47,028.46 is: 70,544.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,348.22 : 239,028.96 = 47,028.46 : x
  2. Step 2: Convert to fraction form
    159,348.22/239,028.96 = 47,028.46/x
  3. Step 3: Cross multiply
    159,348.22x = 239,028.96 × 47,028.46
  4. Step 4: Simplify right side
    159,348.22x = 11,241,163,884.20
  5. Step 5: Solve for x
    x = 11,241,163,884.20/159,348.22
  6. Step 6: Final answer
    x = 70,544.65

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Why These Related Problems?

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