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Finding the Fourth Proportional to 242,536.92, 334,711.31 and 135,107.03

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Solution

The fourth proportional to 242,536.92, 334,711.31 and 135,107.03 is: 186,453.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,536.92 : 334,711.31 = 135,107.03 : x
  2. Step 2: Convert to fraction form
    242,536.92/334,711.31 = 135,107.03/x
  3. Step 3: Cross multiply
    242,536.92x = 334,711.31 × 135,107.03
  4. Step 4: Simplify right side
    242,536.92x = 45,221,848,652.42
  5. Step 5: Solve for x
    x = 45,221,848,652.42/242,536.92
  6. Step 6: Final answer
    x = 186,453.46

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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.