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Finding the Fourth Proportional to 129,971.76, 194,917.95 and 55,090.50

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Solution

The fourth proportional to 129,971.76, 194,917.95 and 55,090.50 is: 82,618.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,971.76 : 194,917.95 = 55,090.50 : x
  2. Step 2: Convert to fraction form
    129,971.76/194,917.95 = 55,090.50/x
  3. Step 3: Cross multiply
    129,971.76x = 194,917.95 × 55,090.50
  4. Step 4: Simplify right side
    129,971.76x = 10,738,127,324.48
  5. Step 5: Solve for x
    x = 10,738,127,324.48/129,971.76
  6. Step 6: Final answer
    x = 82,618.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.