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Finding the Fourth Proportional to 271,425.70, 407,076.57 and 102,964.74

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Solution

The fourth proportional to 271,425.70, 407,076.57 and 102,964.74 is: 154,423.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,425.70 : 407,076.57 = 102,964.74 : x
  2. Step 2: Convert to fraction form
    271,425.70/407,076.57 = 102,964.74/x
  3. Step 3: Cross multiply
    271,425.70x = 407,076.57 × 102,964.74
  4. Step 4: Simplify right side
    271,425.70x = 41,914,533,190.14
  5. Step 5: Solve for x
    x = 41,914,533,190.14/271,425.70
  6. Step 6: Final answer
    x = 154,423.60

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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.