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Finding the Fourth Proportional to 100,324.16, 138,448.50 and 57,309.34

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Solution

The fourth proportional to 100,324.16, 138,448.50 and 57,309.34 is: 79,087.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,324.16 : 138,448.50 = 57,309.34 : x
  2. Step 2: Convert to fraction form
    100,324.16/138,448.50 = 57,309.34/x
  3. Step 3: Cross multiply
    100,324.16x = 138,448.50 × 57,309.34
  4. Step 4: Simplify right side
    100,324.16x = 7,934,392,158.99
  5. Step 5: Solve for x
    x = 7,934,392,158.99/100,324.16
  6. Step 6: Final answer
    x = 79,087.55

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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.