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Finding the Fourth Proportional to 145,202.88, 200,365.04 and 81,540.16

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Solution

The fourth proportional to 145,202.88, 200,365.04 and 81,540.16 is: 112,517.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,202.88 : 200,365.04 = 81,540.16 : x
  2. Step 2: Convert to fraction form
    145,202.88/200,365.04 = 81,540.16/x
  3. Step 3: Cross multiply
    145,202.88x = 200,365.04 × 81,540.16
  4. Step 4: Simplify right side
    145,202.88x = 16,337,797,420.01
  5. Step 5: Solve for x
    x = 16,337,797,420.01/145,202.88
  6. Step 6: Final answer
    x = 112,517.03

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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.