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Finding the Fourth Proportional to 161,422.47, 222,766.00 and 89,809.16

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Solution

The fourth proportional to 161,422.47, 222,766.00 and 89,809.16 is: 123,938.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,422.47 : 222,766.00 = 89,809.16 : x
  2. Step 2: Convert to fraction form
    161,422.47/222,766.00 = 89,809.16/x
  3. Step 3: Cross multiply
    161,422.47x = 222,766.00 × 89,809.16
  4. Step 4: Simplify right side
    161,422.47x = 20,006,425,998.21
  5. Step 5: Solve for x
    x = 20,006,425,998.21/161,422.47
  6. Step 6: Final answer
    x = 123,938.30

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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.