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Finding the Fourth Proportional to 140,093.68, 193,329.92 and 76,432.80

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Solution

The fourth proportional to 140,093.68, 193,329.92 and 76,432.80 is: 105,477.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,093.68 : 193,329.92 = 76,432.80 : x
  2. Step 2: Convert to fraction form
    140,093.68/193,329.92 = 76,432.80/x
  3. Step 3: Cross multiply
    140,093.68x = 193,329.92 × 76,432.80
  4. Step 4: Simplify right side
    140,093.68x = 14,776,747,109.38
  5. Step 5: Solve for x
    x = 14,776,747,109.38/140,093.68
  6. Step 6: Final answer
    x = 105,477.61

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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.