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Finding the Fourth Proportional to 129,070.26, 178,142.45 and 82,473.34

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Solution

The fourth proportional to 129,070.26, 178,142.45 and 82,473.34 is: 113,829.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,070.26 : 178,142.45 = 82,473.34 : x
  2. Step 2: Convert to fraction form
    129,070.26/178,142.45 = 82,473.34/x
  3. Step 3: Cross multiply
    129,070.26x = 178,142.45 × 82,473.34
  4. Step 4: Simplify right side
    129,070.26x = 14,692,002,847.28
  5. Step 5: Solve for x
    x = 14,692,002,847.28/129,070.26
  6. Step 6: Final answer
    x = 113,829.50

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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.