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Finding the Fourth Proportional to 161,196.48, 241,639.20 and 82,347.84

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Solution

The fourth proportional to 161,196.48, 241,639.20 and 82,347.84 is: 123,442.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,196.48 : 241,639.20 = 82,347.84 : x
  2. Step 2: Convert to fraction form
    161,196.48/241,639.20 = 82,347.84/x
  3. Step 3: Cross multiply
    161,196.48x = 241,639.20 × 82,347.84
  4. Step 4: Simplify right side
    161,196.48x = 19,898,466,179.33
  5. Step 5: Solve for x
    x = 19,898,466,179.33/161,196.48
  6. Step 6: Final answer
    x = 123,442.31

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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.