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Finding the Fourth Proportional to 161,424, 222,704.96 and 100,971.68

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Solution

The fourth proportional to 161,424, 222,704.96 and 100,971.68 is: 139,303.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,424 : 222,704.96 = 100,971.68 : x
  2. Step 2: Convert to fraction form
    161,424/222,704.96 = 100,971.68/x
  3. Step 3: Cross multiply
    161,424x = 222,704.96 × 100,971.68
  4. Step 4: Simplify right side
    161,424x = 22,486,892,337.15
  5. Step 5: Solve for x
    x = 22,486,892,337.15/161,424
  6. Step 6: Final answer
    x = 139,303.28

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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.