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Finding the Fourth Proportional to 159,891.91, 239,796.07 and 47,541.87

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Solution

The fourth proportional to 159,891.91, 239,796.07 and 47,541.87 is: 71,300.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,891.91 : 239,796.07 = 47,541.87 : x
  2. Step 2: Convert to fraction form
    159,891.91/239,796.07 = 47,541.87/x
  3. Step 3: Cross multiply
    159,891.91x = 239,796.07 × 47,541.87
  4. Step 4: Simplify right side
    159,891.91x = 11,400,353,586.45
  5. Step 5: Solve for x
    x = 11,400,353,586.45/159,891.91
  6. Step 6: Final answer
    x = 71,300.38

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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.