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Finding the Fourth Proportional to 222,932.96, 307,791.60 and 138,140

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Solution

The fourth proportional to 222,932.96, 307,791.60 and 138,140 is: 190,722.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,932.96 : 307,791.60 = 138,140 : x
  2. Step 2: Convert to fraction form
    222,932.96/307,791.60 = 138,140/x
  3. Step 3: Cross multiply
    222,932.96x = 307,791.60 × 138,140
  4. Step 4: Simplify right side
    222,932.96x = 42,518,331,624
  5. Step 5: Solve for x
    x = 42,518,331,624/222,932.96
  6. Step 6: Final answer
    x = 190,722.50

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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.