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Finding the Fourth Proportional to 160,992.48, 241,174.56 and 105,420

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Solution

The fourth proportional to 160,992.48, 241,174.56 and 105,420 is: 157,924.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,992.48 : 241,174.56 = 105,420 : x
  2. Step 2: Convert to fraction form
    160,992.48/241,174.56 = 105,420/x
  3. Step 3: Cross multiply
    160,992.48x = 241,174.56 × 105,420
  4. Step 4: Simplify right side
    160,992.48x = 25,424,622,115.20
  5. Step 5: Solve for x
    x = 25,424,622,115.20/160,992.48
  6. Step 6: Final answer
    x = 157,924.28

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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.