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Finding the Fourth Proportional to 142,251.94, 196,313.34 and 81,822.52

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Solution

The fourth proportional to 142,251.94, 196,313.34 and 81,822.52 is: 112,918.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,251.94 : 196,313.34 = 81,822.52 : x
  2. Step 2: Convert to fraction form
    142,251.94/196,313.34 = 81,822.52/x
  3. Step 3: Cross multiply
    142,251.94x = 196,313.34 × 81,822.52
  4. Step 4: Simplify right side
    142,251.94x = 16,062,852,188.42
  5. Step 5: Solve for x
    x = 16,062,852,188.42/142,251.94
  6. Step 6: Final answer
    x = 112,918.33

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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.