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Finding the Fourth Proportional to 140,596.59, 194,023.32 and 76,934.41

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Solution

The fourth proportional to 140,596.59, 194,023.32 and 76,934.41 is: 106,169.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,596.59 : 194,023.32 = 76,934.41 : x
  2. Step 2: Convert to fraction form
    140,596.59/194,023.32 = 76,934.41/x
  3. Step 3: Cross multiply
    140,596.59x = 194,023.32 × 76,934.41
  4. Step 4: Simplify right side
    140,596.59x = 14,927,068,876.88
  5. Step 5: Solve for x
    x = 14,927,068,876.88/140,596.59
  6. Step 6: Final answer
    x = 106,169.49

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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.