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Finding the Fourth Proportional to 140,462.70, 193,838.50 and 76,800.48

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Solution

The fourth proportional to 140,462.70, 193,838.50 and 76,800.48 is: 105,984.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,462.70 : 193,838.50 = 76,800.48 : x
  2. Step 2: Convert to fraction form
    140,462.70/193,838.50 = 76,800.48/x
  3. Step 3: Cross multiply
    140,462.70x = 193,838.50 × 76,800.48
  4. Step 4: Simplify right side
    140,462.70x = 14,886,889,842.48
  5. Step 5: Solve for x
    x = 14,886,889,842.48/140,462.70
  6. Step 6: Final answer
    x = 105,984.65

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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.