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Finding the Fourth Proportional to 182,164.58, 251,387.36 and 100,491

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Solution

The fourth proportional to 182,164.58, 251,387.36 and 100,491 is: 138,677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,164.58 : 251,387.36 = 100,491 : x
  2. Step 2: Convert to fraction form
    182,164.58/251,387.36 = 100,491/x
  3. Step 3: Cross multiply
    182,164.58x = 251,387.36 × 100,491
  4. Step 4: Simplify right side
    182,164.58x = 25,262,167,193.76
  5. Step 5: Solve for x
    x = 25,262,167,193.76/182,164.58
  6. Step 6: Final answer
    x = 138,677.71

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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.