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Finding the Fourth Proportional to 102,863.45, 141,944.85 and 57,533.57

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Solution

The fourth proportional to 102,863.45, 141,944.85 and 57,533.57 is: 79,392.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,863.45 : 141,944.85 = 57,533.57 : x
  2. Step 2: Convert to fraction form
    102,863.45/141,944.85 = 57,533.57/x
  3. Step 3: Cross multiply
    102,863.45x = 141,944.85 × 57,533.57
  4. Step 4: Simplify right side
    102,863.45x = 8,166,593,253.89
  5. Step 5: Solve for x
    x = 8,166,593,253.89/102,863.45
  6. Step 6: Final answer
    x = 79,392.57

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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.