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Finding the Fourth Proportional to 159,676.15, 239,515.21 and 47,357.30

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Solution

The fourth proportional to 159,676.15, 239,515.21 and 47,357.30 is: 71,036.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,676.15 : 239,515.21 = 47,357.30 : x
  2. Step 2: Convert to fraction form
    159,676.15/239,515.21 = 47,357.30/x
  3. Step 3: Cross multiply
    159,676.15x = 239,515.21 × 47,357.30
  4. Step 4: Simplify right side
    159,676.15x = 11,342,793,654.53
  5. Step 5: Solve for x
    x = 11,342,793,654.53/159,676.15
  6. Step 6: Final answer
    x = 71,036.24

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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.