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Finding the Fourth Proportional to 139,951.92, 193,024.42 and 96,947.64

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Solution

The fourth proportional to 139,951.92, 193,024.42 and 96,947.64 is: 133,712.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,951.92 : 193,024.42 = 96,947.64 : x
  2. Step 2: Convert to fraction form
    139,951.92/193,024.42 = 96,947.64/x
  3. Step 3: Cross multiply
    139,951.92x = 193,024.42 × 96,947.64
  4. Step 4: Simplify right side
    139,951.92x = 18,713,261,981.37
  5. Step 5: Solve for x
    x = 18,713,261,981.37/139,951.92
  6. Step 6: Final answer
    x = 133,712.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.