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Finding the Fourth Proportional to 100,225.17, 138,305.78 and 54,903.30

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Solution

The fourth proportional to 100,225.17, 138,305.78 and 54,903.30 is: 75,763.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,225.17 : 138,305.78 = 54,903.30 : x
  2. Step 2: Convert to fraction form
    100,225.17/138,305.78 = 54,903.30/x
  3. Step 3: Cross multiply
    100,225.17x = 138,305.78 × 54,903.30
  4. Step 4: Simplify right side
    100,225.17x = 7,593,443,456.56
  5. Step 5: Solve for x
    x = 7,593,443,456.56/100,225.17
  6. Step 6: Final answer
    x = 75,763.84

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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.