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Finding the Fourth Proportional to 100,202.46, 138,304.35 and 57,786.54

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Solution

The fourth proportional to 100,202.46, 138,304.35 and 57,786.54 is: 79,759.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,202.46 : 138,304.35 = 57,786.54 : x
  2. Step 2: Convert to fraction form
    100,202.46/138,304.35 = 57,786.54/x
  3. Step 3: Cross multiply
    100,202.46x = 138,304.35 × 57,786.54
  4. Step 4: Simplify right side
    100,202.46x = 7,992,129,853.45
  5. Step 5: Solve for x
    x = 7,992,129,853.45/100,202.46
  6. Step 6: Final answer
    x = 79,759.82

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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.