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Finding the Fourth Proportional to 275,730.40, 413,672.40 and 135,493.60

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Solution

The fourth proportional to 275,730.40, 413,672.40 and 135,493.60 is: 203,278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,730.40 : 413,672.40 = 135,493.60 : x
  2. Step 2: Convert to fraction form
    275,730.40/413,672.40 = 135,493.60/x
  3. Step 3: Cross multiply
    275,730.40x = 413,672.40 × 135,493.60
  4. Step 4: Simplify right side
    275,730.40x = 56,049,962,696.64
  5. Step 5: Solve for x
    x = 56,049,962,696.64/275,730.40
  6. Step 6: Final answer
    x = 203,278.14

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Why These Related Problems?

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