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Finding the Fourth Proportional to 100,202.90, 138,281.56 and 54,880.06

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Solution

The fourth proportional to 100,202.90, 138,281.56 and 54,880.06 is: 75,735.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,202.90 : 138,281.56 = 54,880.06 : x
  2. Step 2: Convert to fraction form
    100,202.90/138,281.56 = 54,880.06/x
  3. Step 3: Cross multiply
    100,202.90x = 138,281.56 × 54,880.06
  4. Step 4: Simplify right side
    100,202.90x = 7,588,900,309.69
  5. Step 5: Solve for x
    x = 7,588,900,309.69/100,202.90
  6. Step 6: Final answer
    x = 75,735.34

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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.