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Finding the Fourth Proportional to 142,182.94, 213,252.54 and 47,414.78

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Solution

The fourth proportional to 142,182.94, 213,252.54 and 47,414.78 is: 71,114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,182.94 : 213,252.54 = 47,414.78 : x
  2. Step 2: Convert to fraction form
    142,182.94/213,252.54 = 47,414.78/x
  3. Step 3: Cross multiply
    142,182.94x = 213,252.54 × 47,414.78
  4. Step 4: Simplify right side
    142,182.94x = 10,111,322,268.54
  5. Step 5: Solve for x
    x = 10,111,322,268.54/142,182.94
  6. Step 6: Final answer
    x = 71,114.88

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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.