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Finding the Fourth Proportional to 153,992.34, 230,996.79 and 48,819.51

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Solution

The fourth proportional to 153,992.34, 230,996.79 and 48,819.51 is: 73,231.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,992.34 : 230,996.79 = 48,819.51 : x
  2. Step 2: Convert to fraction form
    153,992.34/230,996.79 = 48,819.51/x
  3. Step 3: Cross multiply
    153,992.34x = 230,996.79 × 48,819.51
  4. Step 4: Simplify right side
    153,992.34x = 11,277,150,099.37
  5. Step 5: Solve for x
    x = 11,277,150,099.37/153,992.34
  6. Step 6: Final answer
    x = 73,231.89

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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.