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Finding the Fourth Proportional to 139,896.95, 193,057.49 and 76,234.59

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Solution

The fourth proportional to 139,896.95, 193,057.49 and 76,234.59 is: 105,203.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,896.95 : 193,057.49 = 76,234.59 : x
  2. Step 2: Convert to fraction form
    139,896.95/193,057.49 = 76,234.59/x
  3. Step 3: Cross multiply
    139,896.95x = 193,057.49 × 76,234.59
  4. Step 4: Simplify right side
    139,896.95x = 14,717,658,787.17
  5. Step 5: Solve for x
    x = 14,717,658,787.17/139,896.95
  6. Step 6: Final answer
    x = 105,203.58

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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.