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Finding the Fourth Proportional to 218,191.50, 301,107.92 and 142,740

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Solution

The fourth proportional to 218,191.50, 301,107.92 and 142,740 is: 196,983.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,191.50 : 301,107.92 = 142,740 : x
  2. Step 2: Convert to fraction form
    218,191.50/301,107.92 = 142,740/x
  3. Step 3: Cross multiply
    218,191.50x = 301,107.92 × 142,740
  4. Step 4: Simplify right side
    218,191.50x = 42,980,143,787.10
  5. Step 5: Solve for x
    x = 42,980,143,787.10/218,191.50
  6. Step 6: Final answer
    x = 196,983.58

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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.