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Finding the Fourth Proportional to 159,502.88, 239,289.36 and 47,174.34

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Solution

The fourth proportional to 159,502.88, 239,289.36 and 47,174.34 is: 70,771.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,502.88 : 239,289.36 = 47,174.34 : x
  2. Step 2: Convert to fraction form
    159,502.88/239,289.36 = 47,174.34/x
  3. Step 3: Cross multiply
    159,502.88x = 239,289.36 × 47,174.34
  4. Step 4: Simplify right side
    159,502.88x = 11,288,317,509.09
  5. Step 5: Solve for x
    x = 11,288,317,509.09/159,502.88
  6. Step 6: Final answer
    x = 70,771.87

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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.