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Finding the Fourth Proportional to 100,338.46, 138,471.32 and 57,325.03

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Solution

The fourth proportional to 100,338.46, 138,471.32 and 57,325.03 is: 79,110.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,338.46 : 138,471.32 = 57,325.03 : x
  2. Step 2: Convert to fraction form
    100,338.46/138,471.32 = 57,325.03/x
  3. Step 3: Cross multiply
    100,338.46x = 138,471.32 × 57,325.03
  4. Step 4: Simplify right side
    100,338.46x = 7,937,872,286.51
  5. Step 5: Solve for x
    x = 7,937,872,286.51/100,338.46
  6. Step 6: Final answer
    x = 79,110.96

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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.