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Finding the Fourth Proportional to 301,692.69, 451,850.13 and 144,031.86

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Solution

The fourth proportional to 301,692.69, 451,850.13 and 144,031.86 is: 215,718.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,692.69 : 451,850.13 = 144,031.86 : x
  2. Step 2: Convert to fraction form
    301,692.69/451,850.13 = 144,031.86/x
  3. Step 3: Cross multiply
    301,692.69x = 451,850.13 × 144,031.86
  4. Step 4: Simplify right side
    301,692.69x = 65,080,814,665.14
  5. Step 5: Solve for x
    x = 65,080,814,665.14/301,692.69
  6. Step 6: Final answer
    x = 215,718.90

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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.