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Finding the Fourth Proportional to 182,992.67, 252,529.86 and 102,420.20

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Solution

The fourth proportional to 182,992.67, 252,529.86 and 102,420.20 is: 141,339.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,992.67 : 252,529.86 = 102,420.20 : x
  2. Step 2: Convert to fraction form
    182,992.67/252,529.86 = 102,420.20/x
  3. Step 3: Cross multiply
    182,992.67x = 252,529.86 × 102,420.20
  4. Step 4: Simplify right side
    182,992.67x = 25,864,157,504.52
  5. Step 5: Solve for x
    x = 25,864,157,504.52/182,992.67
  6. Step 6: Final answer
    x = 141,339.86

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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.