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Finding the Fourth Proportional to 100,295.28, 138,405.60 and 54,972

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Solution

The fourth proportional to 100,295.28, 138,405.60 and 54,972 is: 75,860.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,295.28 : 138,405.60 = 54,972 : x
  2. Step 2: Convert to fraction form
    100,295.28/138,405.60 = 54,972/x
  3. Step 3: Cross multiply
    100,295.28x = 138,405.60 × 54,972
  4. Step 4: Simplify right side
    100,295.28x = 7,608,432,643.20
  5. Step 5: Solve for x
    x = 7,608,432,643.20/100,295.28
  6. Step 6: Final answer
    x = 75,860.33

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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.