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Finding the Fourth Proportional to 104,163, 156,270.96 and 30,291

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Solution

The fourth proportional to 104,163, 156,270.96 and 30,291 is: 45,444.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,163 : 156,270.96 = 30,291 : x
  2. Step 2: Convert to fraction form
    104,163/156,270.96 = 30,291/x
  3. Step 3: Cross multiply
    104,163x = 156,270.96 × 30,291
  4. Step 4: Simplify right side
    104,163x = 4,733,603,649.36
  5. Step 5: Solve for x
    x = 4,733,603,649.36/104,163
  6. Step 6: Final answer
    x = 45,444.19

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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.