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Finding the Fourth Proportional to 161,301.96, 222,602.31 and 89,685

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Solution

The fourth proportional to 161,301.96, 222,602.31 and 89,685 is: 123,768.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,301.96 : 222,602.31 = 89,685 : x
  2. Step 2: Convert to fraction form
    161,301.96/222,602.31 = 89,685/x
  3. Step 3: Cross multiply
    161,301.96x = 222,602.31 × 89,685
  4. Step 4: Simplify right side
    161,301.96x = 19,964,088,172.35
  5. Step 5: Solve for x
    x = 19,964,088,172.35/161,301.96
  6. Step 6: Final answer
    x = 123,768.42

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