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Finding the Fourth Proportional to 161,090.16, 222,311.84 and 89,470.48

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Solution

The fourth proportional to 161,090.16, 222,311.84 and 89,470.48 is: 123,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,090.16 : 222,311.84 = 89,470.48 : x
  2. Step 2: Convert to fraction form
    161,090.16/222,311.84 = 89,470.48/x
  3. Step 3: Cross multiply
    161,090.16x = 222,311.84 × 89,470.48
  4. Step 4: Simplify right side
    161,090.16x = 19,890,347,034.48
  5. Step 5: Solve for x
    x = 19,890,347,034.48/161,090.16
  6. Step 6: Final answer
    x = 123,473.38

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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.