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Finding the Fourth Proportional to 100,194.36, 138,271.34 and 55,486.52

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Solution

The fourth proportional to 100,194.36, 138,271.34 and 55,486.52 is: 76,573.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,194.36 : 138,271.34 = 55,486.52 : x
  2. Step 2: Convert to fraction form
    100,194.36/138,271.34 = 55,486.52/x
  3. Step 3: Cross multiply
    100,194.36x = 138,271.34 × 55,486.52
  4. Step 4: Simplify right side
    100,194.36x = 7,672,195,472.34
  5. Step 5: Solve for x
    x = 7,672,195,472.34/100,194.36
  6. Step 6: Final answer
    x = 76,573.13

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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.