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Finding the Fourth Proportional to 182,214.12, 251,457.38 and 101,649

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Solution

The fourth proportional to 182,214.12, 251,457.38 and 101,649 is: 140,276.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,214.12 : 251,457.38 = 101,649 : x
  2. Step 2: Convert to fraction form
    182,214.12/251,457.38 = 101,649/x
  3. Step 3: Cross multiply
    182,214.12x = 251,457.38 × 101,649
  4. Step 4: Simplify right side
    182,214.12x = 25,560,391,219.62
  5. Step 5: Solve for x
    x = 25,560,391,219.62/182,214.12
  6. Step 6: Final answer
    x = 140,276.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.