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Finding the Fourth Proportional to 271,410.46, 407,118.32 and 102,885.50

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Solution

The fourth proportional to 271,410.46, 407,118.32 and 102,885.50 is: 154,329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,410.46 : 407,118.32 = 102,885.50 : x
  2. Step 2: Convert to fraction form
    271,410.46/407,118.32 = 102,885.50/x
  3. Step 3: Cross multiply
    271,410.46x = 407,118.32 × 102,885.50
  4. Step 4: Simplify right side
    271,410.46x = 41,886,571,912.36
  5. Step 5: Solve for x
    x = 41,886,571,912.36/271,410.46
  6. Step 6: Final answer
    x = 154,329.25

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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.