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Finding the Fourth Proportional to 140,212.56, 193,490.64 and 76,550.76

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Solution

The fourth proportional to 140,212.56, 193,490.64 and 76,550.76 is: 105,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,212.56 : 193,490.64 = 76,550.76 : x
  2. Step 2: Convert to fraction form
    140,212.56/193,490.64 = 76,550.76/x
  3. Step 3: Cross multiply
    140,212.56x = 193,490.64 × 76,550.76
  4. Step 4: Simplify right side
    140,212.56x = 14,811,855,544.89
  5. Step 5: Solve for x
    x = 14,811,855,544.89/140,212.56
  6. Step 6: Final answer
    x = 105,638.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.