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Finding the Fourth Proportional to 271,503, 407,265.48 and 129,275.10

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Solution

The fourth proportional to 271,503, 407,265.48 and 129,275.10 is: 193,917.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,503 : 407,265.48 = 129,275.10 : x
  2. Step 2: Convert to fraction form
    271,503/407,265.48 = 129,275.10/x
  3. Step 3: Cross multiply
    271,503x = 407,265.48 × 129,275.10
  4. Step 4: Simplify right side
    271,503x = 52,649,285,653.55
  5. Step 5: Solve for x
    x = 52,649,285,653.55/271,503
  6. Step 6: Final answer
    x = 193,917.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.