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Finding the Fourth Proportional to 100,419.55, 138,580.38 and 55,096.69

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Solution

The fourth proportional to 100,419.55, 138,580.38 and 55,096.69 is: 76,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,419.55 : 138,580.38 = 55,096.69 : x
  2. Step 2: Convert to fraction form
    100,419.55/138,580.38 = 55,096.69/x
  3. Step 3: Cross multiply
    100,419.55x = 138,580.38 × 55,096.69
  4. Step 4: Simplify right side
    100,419.55x = 7,635,320,236.94
  5. Step 5: Solve for x
    x = 7,635,320,236.94/100,419.55
  6. Step 6: Final answer
    x = 76,034.20

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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.