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Finding the Fourth Proportional to 119,847, 178,859.19 and 106,561.44

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Solution

The fourth proportional to 119,847, 178,859.19 and 106,561.44 is: 159,031.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,847 : 178,859.19 = 106,561.44 : x
  2. Step 2: Convert to fraction form
    119,847/178,859.19 = 106,561.44/x
  3. Step 3: Cross multiply
    119,847x = 178,859.19 × 106,561.44
  4. Step 4: Simplify right side
    119,847x = 19,059,492,843.63
  5. Step 5: Solve for x
    x = 19,059,492,843.63/119,847
  6. Step 6: Final answer
    x = 159,031.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.