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Finding the Fourth Proportional to 161,283.78, 241,961.94 and 54,661.68

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Solution

The fourth proportional to 161,283.78, 241,961.94 and 54,661.68 is: 82,004.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,283.78 : 241,961.94 = 54,661.68 : x
  2. Step 2: Convert to fraction form
    161,283.78/241,961.94 = 54,661.68/x
  3. Step 3: Cross multiply
    161,283.78x = 241,961.94 × 54,661.68
  4. Step 4: Simplify right side
    161,283.78x = 13,226,046,136.46
  5. Step 5: Solve for x
    x = 13,226,046,136.46/161,283.78
  6. Step 6: Final answer
    x = 82,004.81

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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.