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Finding the Fourth Proportional to 301,638.68, 451,768.94 and 143,977.85

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Solution

The fourth proportional to 301,638.68, 451,768.94 and 143,977.85 is: 215,637.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,638.68 : 451,768.94 = 143,977.85 : x
  2. Step 2: Convert to fraction form
    301,638.68/451,768.94 = 143,977.85/x
  3. Step 3: Cross multiply
    301,638.68x = 451,768.94 × 143,977.85
  4. Step 4: Simplify right side
    301,638.68x = 65,044,720,677.98
  5. Step 5: Solve for x
    x = 65,044,720,677.98/301,638.68
  6. Step 6: Final answer
    x = 215,637.86

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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.