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Finding the Fourth Proportional to 271,927.94, 407,890.28 and 105,715.94

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Solution

The fourth proportional to 271,927.94, 407,890.28 and 105,715.94 is: 158,573.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,927.94 : 407,890.28 = 105,715.94 : x
  2. Step 2: Convert to fraction form
    271,927.94/407,890.28 = 105,715.94/x
  3. Step 3: Cross multiply
    271,927.94x = 407,890.28 × 105,715.94
  4. Step 4: Simplify right side
    271,927.94x = 43,120,502,591.90
  5. Step 5: Solve for x
    x = 43,120,502,591.90/271,927.94
  6. Step 6: Final answer
    x = 158,573.27

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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.