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Finding the Fourth Proportional to 135,701.64, 187,271.26 and 75,270.31

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Solution

The fourth proportional to 135,701.64, 187,271.26 and 75,270.31 is: 103,874.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,701.64 : 187,271.26 = 75,270.31 : x
  2. Step 2: Convert to fraction form
    135,701.64/187,271.26 = 75,270.31/x
  3. Step 3: Cross multiply
    135,701.64x = 187,271.26 × 75,270.31
  4. Step 4: Simplify right side
    135,701.64x = 14,095,965,137.94
  5. Step 5: Solve for x
    x = 14,095,965,137.94/135,701.64
  6. Step 6: Final answer
    x = 103,874.69

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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.