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Finding the Fourth Proportional to 242,839.92, 335,151.96 and 142,278

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Solution

The fourth proportional to 242,839.92, 335,151.96 and 142,278 is: 196,362.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,839.92 : 335,151.96 = 142,278 : x
  2. Step 2: Convert to fraction form
    242,839.92/335,151.96 = 142,278/x
  3. Step 3: Cross multiply
    242,839.92x = 335,151.96 × 142,278
  4. Step 4: Simplify right side
    242,839.92x = 47,684,750,564.88
  5. Step 5: Solve for x
    x = 47,684,750,564.88/242,839.92
  6. Step 6: Final answer
    x = 196,362.90

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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.