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Finding the Fourth Proportional to 275,702.63, 413,582.43 and 76,023.05

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Solution

The fourth proportional to 275,702.63, 413,582.43 and 76,023.05 is: 114,042.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,702.63 : 413,582.43 = 76,023.05 : x
  2. Step 2: Convert to fraction form
    275,702.63/413,582.43 = 76,023.05/x
  3. Step 3: Cross multiply
    275,702.63x = 413,582.43 × 76,023.05
  4. Step 4: Simplify right side
    275,702.63x = 31,441,797,755.01
  5. Step 5: Solve for x
    x = 31,441,797,755.01/275,702.63
  6. Step 6: Final answer
    x = 114,042.43

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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.