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Finding the Fourth Proportional to 100,142.87, 138,212.34 and 57,122.15

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Solution

The fourth proportional to 100,142.87, 138,212.34 and 57,122.15 is: 78,837.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,142.87 : 138,212.34 = 57,122.15 : x
  2. Step 2: Convert to fraction form
    100,142.87/138,212.34 = 57,122.15/x
  3. Step 3: Cross multiply
    100,142.87x = 138,212.34 × 57,122.15
  4. Step 4: Simplify right side
    100,142.87x = 7,894,986,017.33
  5. Step 5: Solve for x
    x = 7,894,986,017.33/100,142.87
  6. Step 6: Final answer
    x = 78,837.23

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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.