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Finding the Fourth Proportional to 161,427, 222,709.10 and 100,974.68

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Solution

The fourth proportional to 161,427, 222,709.10 and 100,974.68 is: 139,307.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,427 : 222,709.10 = 100,974.68 : x
  2. Step 2: Convert to fraction form
    161,427/222,709.10 = 100,974.68/x
  3. Step 3: Cross multiply
    161,427x = 222,709.10 × 100,974.68
  4. Step 4: Simplify right side
    161,427x = 22,487,980,105.59
  5. Step 5: Solve for x
    x = 22,487,980,105.59/161,427
  6. Step 6: Final answer
    x = 139,307.43

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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.