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Finding the Fourth Proportional to 161,473, 222,832.74 and 90,817

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Solution

The fourth proportional to 161,473, 222,832.74 and 90,817 is: 125,327.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,473 : 222,832.74 = 90,817 : x
  2. Step 2: Convert to fraction form
    161,473/222,832.74 = 90,817/x
  3. Step 3: Cross multiply
    161,473x = 222,832.74 × 90,817
  4. Step 4: Simplify right side
    161,473x = 20,237,000,948.58
  5. Step 5: Solve for x
    x = 20,237,000,948.58/161,473
  6. Step 6: Final answer
    x = 125,327.46

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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.