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Finding the Fourth Proportional to 275,834.88, 413,506.08 and 117,982.08

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Solution

The fourth proportional to 275,834.88, 413,506.08 and 117,982.08 is: 176,867.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,834.88 : 413,506.08 = 117,982.08 : x
  2. Step 2: Convert to fraction form
    275,834.88/413,506.08 = 117,982.08/x
  3. Step 3: Cross multiply
    275,834.88x = 413,506.08 × 117,982.08
  4. Step 4: Simplify right side
    275,834.88x = 48,786,307,411.05
  5. Step 5: Solve for x
    x = 48,786,307,411.05/275,834.88
  6. Step 6: Final answer
    x = 176,867.80

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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.