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Finding the Fourth Proportional to 161,405.10, 222,733.94 and 89,784.50

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Solution

The fourth proportional to 161,405.10, 222,733.94 and 89,784.50 is: 123,899.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,405.10 : 222,733.94 = 89,784.50 : x
  2. Step 2: Convert to fraction form
    161,405.10/222,733.94 = 89,784.50/x
  3. Step 3: Cross multiply
    161,405.10x = 222,733.94 × 89,784.50
  4. Step 4: Simplify right side
    161,405.10x = 19,998,053,873.34
  5. Step 5: Solve for x
    x = 19,998,053,873.34/161,405.10
  6. Step 6: Final answer
    x = 123,899.76

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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.