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Finding the Fourth Proportional to 142,135.20, 213,202.08 and 133,474.08

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Solution

The fourth proportional to 142,135.20, 213,202.08 and 133,474.08 is: 200,210.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,135.20 : 213,202.08 = 133,474.08 : x
  2. Step 2: Convert to fraction form
    142,135.20/213,202.08 = 133,474.08/x
  3. Step 3: Cross multiply
    142,135.20x = 213,202.08 × 133,474.08
  4. Step 4: Simplify right side
    142,135.20x = 28,456,951,482.09
  5. Step 5: Solve for x
    x = 28,456,951,482.09/142,135.20
  6. Step 6: Final answer
    x = 200,210.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.