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Finding the Fourth Proportional to 76,838.76, 105,977.87 and 68,234.00

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Solution

The fourth proportional to 76,838.76, 105,977.87 and 68,234.00 is: 94,109.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,838.76 : 105,977.87 = 68,234.00 : x
  2. Step 2: Convert to fraction form
    76,838.76/105,977.87 = 68,234.00/x
  3. Step 3: Cross multiply
    76,838.76x = 105,977.87 × 68,234.00
  4. Step 4: Simplify right side
    76,838.76x = 7,231,293,110.52
  5. Step 5: Solve for x
    x = 7,231,293,110.52/76,838.76
  6. Step 6: Final answer
    x = 94,109.97

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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.