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Finding the Fourth Proportional to 100,131.84, 138,182.22 and 55,419.84

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Solution

The fourth proportional to 100,131.84, 138,182.22 and 55,419.84 is: 76,479.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,131.84 : 138,182.22 = 55,419.84 : x
  2. Step 2: Convert to fraction form
    100,131.84/138,182.22 = 55,419.84/x
  3. Step 3: Cross multiply
    100,131.84x = 138,182.22 × 55,419.84
  4. Step 4: Simplify right side
    100,131.84x = 7,658,036,523.24
  5. Step 5: Solve for x
    x = 7,658,036,523.24/100,131.84
  6. Step 6: Final answer
    x = 76,479.53

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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.