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Finding the Fourth Proportional to 159,709.86, 239,610.96 and 47,392.56

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Solution

The fourth proportional to 159,709.86, 239,610.96 and 47,392.56 is: 71,102.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,709.86 : 239,610.96 = 47,392.56 : x
  2. Step 2: Convert to fraction form
    159,709.86/239,610.96 = 47,392.56/x
  3. Step 3: Cross multiply
    159,709.86x = 239,610.96 × 47,392.56
  4. Step 4: Simplify right side
    159,709.86x = 11,355,776,798.46
  5. Step 5: Solve for x
    x = 11,355,776,798.46/159,709.86
  6. Step 6: Final answer
    x = 71,102.54

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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.