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Finding the Fourth Proportional to 275,451.75, 413,352.41 and 117,681.39

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Solution

The fourth proportional to 275,451.75, 413,352.41 and 117,681.39 is: 176,596.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,451.75 : 413,352.41 = 117,681.39 : x
  2. Step 2: Convert to fraction form
    275,451.75/413,352.41 = 117,681.39/x
  3. Step 3: Cross multiply
    275,451.75x = 413,352.41 × 117,681.39
  4. Step 4: Simplify right side
    275,451.75x = 48,643,885,580.24
  5. Step 5: Solve for x
    x = 48,643,885,580.24/275,451.75
  6. Step 6: Final answer
    x = 176,596.76

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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.