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Finding the Fourth Proportional to 271,570.70, 407,354.02 and 82,030.70

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Solution

The fourth proportional to 271,570.70, 407,354.02 and 82,030.70 is: 123,045.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,570.70 : 407,354.02 = 82,030.70 : x
  2. Step 2: Convert to fraction form
    271,570.70/407,354.02 = 82,030.70/x
  3. Step 3: Cross multiply
    271,570.70x = 407,354.02 × 82,030.70
  4. Step 4: Simplify right side
    271,570.70x = 33,415,535,408.41
  5. Step 5: Solve for x
    x = 33,415,535,408.41/271,570.70
  6. Step 6: Final answer
    x = 123,045.44

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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.