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Finding the Fourth Proportional to 100,202.87, 138,213.46 and 64,438.13

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Solution

The fourth proportional to 100,202.87, 138,213.46 and 64,438.13 is: 88,881.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,202.87 : 138,213.46 = 64,438.13 : x
  2. Step 2: Convert to fraction form
    100,202.87/138,213.46 = 64,438.13/x
  3. Step 3: Cross multiply
    100,202.87x = 138,213.46 × 64,438.13
  4. Step 4: Simplify right side
    100,202.87x = 8,906,215,889.97
  5. Step 5: Solve for x
    x = 8,906,215,889.97/100,202.87
  6. Step 6: Final answer
    x = 88,881.85

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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.