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Finding the Fourth Proportional to 161,920.71, 223,450.79 and 89,321.94

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Solution

The fourth proportional to 161,920.71, 223,450.79 and 89,321.94 is: 123,264.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,920.71 : 223,450.79 = 89,321.94 : x
  2. Step 2: Convert to fraction form
    161,920.71/223,450.79 = 89,321.94/x
  3. Step 3: Cross multiply
    161,920.71x = 223,450.79 × 89,321.94
  4. Step 4: Simplify right side
    161,920.71x = 19,959,057,610.72
  5. Step 5: Solve for x
    x = 19,959,057,610.72/161,920.71
  6. Step 6: Final answer
    x = 123,264.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.