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Finding the Fourth Proportional to 100,220.67, 138,298.62 and 54,889.63

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Solution

The fourth proportional to 100,220.67, 138,298.62 and 54,889.63 is: 75,744.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,220.67 : 138,298.62 = 54,889.63 : x
  2. Step 2: Convert to fraction form
    100,220.67/138,298.62 = 54,889.63/x
  3. Step 3: Cross multiply
    100,220.67x = 138,298.62 × 54,889.63
  4. Step 4: Simplify right side
    100,220.67x = 7,591,160,081.31
  5. Step 5: Solve for x
    x = 7,591,160,081.31/100,220.67
  6. Step 6: Final answer
    x = 75,744.46

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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.