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Finding the Fourth Proportional to 100,188.80, 138,227 and 57,746.44

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Solution

The fourth proportional to 100,188.80, 138,227 and 57,746.44 is: 79,670.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,188.80 : 138,227 = 57,746.44 : x
  2. Step 2: Convert to fraction form
    100,188.80/138,227 = 57,746.44/x
  3. Step 3: Cross multiply
    100,188.80x = 138,227 × 57,746.44
  4. Step 4: Simplify right side
    100,188.80x = 7,982,117,161.88
  5. Step 5: Solve for x
    x = 7,982,117,161.88/100,188.80
  6. Step 6: Final answer
    x = 79,670.75

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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.