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Finding the Fourth Proportional to 142,227.54, 196,288.65 and 81,800.46

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Solution

The fourth proportional to 142,227.54, 196,288.65 and 81,800.46 is: 112,893.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,227.54 : 196,288.65 = 81,800.46 : x
  2. Step 2: Convert to fraction form
    142,227.54/196,288.65 = 81,800.46/x
  3. Step 3: Cross multiply
    142,227.54x = 196,288.65 × 81,800.46
  4. Step 4: Simplify right side
    142,227.54x = 16,056,501,862.78
  5. Step 5: Solve for x
    x = 16,056,501,862.78/142,227.54
  6. Step 6: Final answer
    x = 112,893.06

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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.