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Finding the Fourth Proportional to 135,613.41, 187,157.57 and 75,202.98

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Solution

The fourth proportional to 135,613.41, 187,157.57 and 75,202.98 is: 103,786.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,613.41 : 187,157.57 = 75,202.98 : x
  2. Step 2: Convert to fraction form
    135,613.41/187,157.57 = 75,202.98/x
  3. Step 3: Cross multiply
    135,613.41x = 187,157.57 × 75,202.98
  4. Step 4: Simplify right side
    135,613.41x = 14,074,806,617.54
  5. Step 5: Solve for x
    x = 14,074,806,617.54/135,613.41
  6. Step 6: Final answer
    x = 103,786.25

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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.