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Finding the Fourth Proportional to 159,898.68, 239,826.16 and 47,596.22

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Solution

The fourth proportional to 159,898.68, 239,826.16 and 47,596.22 is: 71,387.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,898.68 : 239,826.16 = 47,596.22 : x
  2. Step 2: Convert to fraction form
    159,898.68/239,826.16 = 47,596.22/x
  3. Step 3: Cross multiply
    159,898.68x = 239,826.16 × 47,596.22
  4. Step 4: Simplify right side
    159,898.68x = 11,414,818,673.12
  5. Step 5: Solve for x
    x = 11,414,818,673.12/159,898.68
  6. Step 6: Final answer
    x = 71,387.82

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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.