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Finding the Fourth Proportional to 100,304.75, 138,420 and 54,984.66

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Solution

The fourth proportional to 100,304.75, 138,420 and 54,984.66 is: 75,878.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,304.75 : 138,420 = 54,984.66 : x
  2. Step 2: Convert to fraction form
    100,304.75/138,420 = 54,984.66/x
  3. Step 3: Cross multiply
    100,304.75x = 138,420 × 54,984.66
  4. Step 4: Simplify right side
    100,304.75x = 7,610,976,637.20
  5. Step 5: Solve for x
    x = 7,610,976,637.20/100,304.75
  6. Step 6: Final answer
    x = 75,878.53

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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.