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Finding the Fourth Proportional to 129,141.96, 193,682.12 and 54,263.54

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Solution

The fourth proportional to 129,141.96, 193,682.12 and 54,263.54 is: 81,382.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,141.96 : 193,682.12 = 54,263.54 : x
  2. Step 2: Convert to fraction form
    129,141.96/193,682.12 = 54,263.54/x
  3. Step 3: Cross multiply
    129,141.96x = 193,682.12 × 54,263.54
  4. Step 4: Simplify right side
    129,141.96x = 10,509,876,226.18
  5. Step 5: Solve for x
    x = 10,509,876,226.18/129,141.96
  6. Step 6: Final answer
    x = 81,382.35

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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.