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Finding the Fourth Proportional to 182,604.95, 251,978.43 and 102,021.29

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Solution

The fourth proportional to 182,604.95, 251,978.43 and 102,021.29 is: 140,780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,604.95 : 251,978.43 = 102,021.29 : x
  2. Step 2: Convert to fraction form
    182,604.95/251,978.43 = 102,021.29/x
  3. Step 3: Cross multiply
    182,604.95x = 251,978.43 × 102,021.29
  4. Step 4: Simplify right side
    182,604.95x = 25,707,163,220.88
  5. Step 5: Solve for x
    x = 25,707,163,220.88/182,604.95
  6. Step 6: Final answer
    x = 140,780.21

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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.