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Finding the Fourth Proportional to 140,555.92, 193,971.76 and 76,893.72

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Solution

The fourth proportional to 140,555.92, 193,971.76 and 76,893.72 is: 106,115.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,555.92 : 193,971.76 = 76,893.72 : x
  2. Step 2: Convert to fraction form
    140,555.92/193,971.76 = 76,893.72/x
  3. Step 3: Cross multiply
    140,555.92x = 193,971.76 × 76,893.72
  4. Step 4: Simplify right side
    140,555.92x = 14,915,210,201.35
  5. Step 5: Solve for x
    x = 14,915,210,201.35/140,555.92
  6. Step 6: Final answer
    x = 106,115.84

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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.