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Finding the Fourth Proportional to 135,644.90, 187,189.02 and 75,215.52

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Solution

The fourth proportional to 135,644.90, 187,189.02 and 75,215.52 is: 103,796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,644.90 : 187,189.02 = 75,215.52 : x
  2. Step 2: Convert to fraction form
    135,644.90/187,189.02 = 75,215.52/x
  3. Step 3: Cross multiply
    135,644.90x = 187,189.02 × 75,215.52
  4. Step 4: Simplify right side
    135,644.90x = 14,079,519,477.59
  5. Step 5: Solve for x
    x = 14,079,519,477.59/135,644.90
  6. Step 6: Final answer
    x = 103,796.90

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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.