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Finding the Fourth Proportional to 142,134, 213,202.08 and 48,640.56

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Solution

The fourth proportional to 142,134, 213,202.08 and 48,640.56 is: 72,961.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,134 : 213,202.08 = 48,640.56 : x
  2. Step 2: Convert to fraction form
    142,134/213,202.08 = 48,640.56/x
  3. Step 3: Cross multiply
    142,134x = 213,202.08 × 48,640.56
  4. Step 4: Simplify right side
    142,134x = 10,370,268,564.36
  5. Step 5: Solve for x
    x = 10,370,268,564.36/142,134
  6. Step 6: Final answer
    x = 72,961.21

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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.