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Finding the Fourth Proportional to 242,843.63, 335,124.23 and 142,241.63

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Solution

The fourth proportional to 242,843.63, 335,124.23 and 142,241.63 is: 196,293.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,843.63 : 335,124.23 = 142,241.63 : x
  2. Step 2: Convert to fraction form
    242,843.63/335,124.23 = 142,241.63/x
  3. Step 3: Cross multiply
    242,843.63x = 335,124.23 × 142,241.63
  4. Step 4: Simplify right side
    242,843.63x = 47,668,614,340.87
  5. Step 5: Solve for x
    x = 47,668,614,340.87/242,843.63
  6. Step 6: Final answer
    x = 196,293.46

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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.