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Finding the Fourth Proportional to 161,309, 222,606.42 and 90,653

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Solution

The fourth proportional to 161,309, 222,606.42 and 90,653 is: 125,101.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,309 : 222,606.42 = 90,653 : x
  2. Step 2: Convert to fraction form
    161,309/222,606.42 = 90,653/x
  3. Step 3: Cross multiply
    161,309x = 222,606.42 × 90,653
  4. Step 4: Simplify right side
    161,309x = 20,179,939,792.26
  5. Step 5: Solve for x
    x = 20,179,939,792.26/161,309
  6. Step 6: Final answer
    x = 125,101.14

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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.