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Finding the Fourth Proportional to 100,438.72, 138,605.42 and 57,419.14

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Solution

The fourth proportional to 100,438.72, 138,605.42 and 57,419.14 is: 79,238.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,438.72 : 138,605.42 = 57,419.14 : x
  2. Step 2: Convert to fraction form
    100,438.72/138,605.42 = 57,419.14/x
  3. Step 3: Cross multiply
    100,438.72x = 138,605.42 × 57,419.14
  4. Step 4: Simplify right side
    100,438.72x = 7,958,604,015.74
  5. Step 5: Solve for x
    x = 7,958,604,015.74/100,438.72
  6. Step 6: Final answer
    x = 79,238.41

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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.