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Finding the Fourth Proportional to 83,170.45, 114,655.71 and 59,255.60

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Solution

The fourth proportional to 83,170.45, 114,655.71 and 59,255.60 is: 81,687.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,170.45 : 114,655.71 = 59,255.60 : x
  2. Step 2: Convert to fraction form
    83,170.45/114,655.71 = 59,255.60/x
  3. Step 3: Cross multiply
    83,170.45x = 114,655.71 × 59,255.60
  4. Step 4: Simplify right side
    83,170.45x = 6,793,993,072.24
  5. Step 5: Solve for x
    x = 6,793,993,072.24/83,170.45
  6. Step 6: Final answer
    x = 81,687.59

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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.