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Finding the Fourth Proportional to 239,714.64, 359,571.96 and 81,944.46

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Solution

The fourth proportional to 239,714.64, 359,571.96 and 81,944.46 is: 122,916.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,714.64 : 359,571.96 = 81,944.46 : x
  2. Step 2: Convert to fraction form
    239,714.64/359,571.96 = 81,944.46/x
  3. Step 3: Cross multiply
    239,714.64x = 359,571.96 × 81,944.46
  4. Step 4: Simplify right side
    239,714.64x = 29,464,930,093.34
  5. Step 5: Solve for x
    x = 29,464,930,093.34/239,714.64
  6. Step 6: Final answer
    x = 122,916.69

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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.