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Finding the Fourth Proportional to 275,888.97, 413,767.84 and 76,204.93

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Solution

The fourth proportional to 275,888.97, 413,767.84 and 76,204.93 is: 114,289.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,888.97 : 413,767.84 = 76,204.93 : x
  2. Step 2: Convert to fraction form
    275,888.97/413,767.84 = 76,204.93/x
  3. Step 3: Cross multiply
    275,888.97x = 413,767.84 × 76,204.93
  4. Step 4: Simplify right side
    275,888.97x = 31,531,148,902.43
  5. Step 5: Solve for x
    x = 31,531,148,902.43/275,888.97
  6. Step 6: Final answer
    x = 114,289.27

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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.