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Finding the Fourth Proportional to 139,922.92, 193,092.42 and 76,260.70

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Solution

The fourth proportional to 139,922.92, 193,092.42 and 76,260.70 is: 105,239.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,922.92 : 193,092.42 = 76,260.70 : x
  2. Step 2: Convert to fraction form
    139,922.92/193,092.42 = 76,260.70/x
  3. Step 3: Cross multiply
    139,922.92x = 193,092.42 × 76,260.70
  4. Step 4: Simplify right side
    139,922.92x = 14,725,363,113.89
  5. Step 5: Solve for x
    x = 14,725,363,113.89/139,922.92
  6. Step 6: Final answer
    x = 105,239.11

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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.