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Finding the Fourth Proportional to 242,077.44, 333,832.32 and 161,508.24

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Solution

The fourth proportional to 242,077.44, 333,832.32 and 161,508.24 is: 222,724.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,077.44 : 333,832.32 = 161,508.24 : x
  2. Step 2: Convert to fraction form
    242,077.44/333,832.32 = 161,508.24/x
  3. Step 3: Cross multiply
    242,077.44x = 333,832.32 × 161,508.24
  4. Step 4: Simplify right side
    242,077.44x = 53,916,670,458.32
  5. Step 5: Solve for x
    x = 53,916,670,458.32/242,077.44
  6. Step 6: Final answer
    x = 222,724.89

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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.