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Finding the Fourth Proportional to 161,005.73, 241,676.26 and 118,933.31

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Solution

The fourth proportional to 161,005.73, 241,676.26 and 118,933.31 is: 178,523.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,005.73 : 241,676.26 = 118,933.31 : x
  2. Step 2: Convert to fraction form
    161,005.73/241,676.26 = 118,933.31/x
  3. Step 3: Cross multiply
    161,005.73x = 241,676.26 × 118,933.31
  4. Step 4: Simplify right side
    161,005.73x = 28,743,357,857.08
  5. Step 5: Solve for x
    x = 28,743,357,857.08/161,005.73
  6. Step 6: Final answer
    x = 178,523.82

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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.