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Finding the Fourth Proportional to 183,714.78, 275,501.32 and 71,380.21

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Solution

The fourth proportional to 183,714.78, 275,501.32 and 71,380.21 is: 107,042.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,714.78 : 275,501.32 = 71,380.21 : x
  2. Step 2: Convert to fraction form
    183,714.78/275,501.32 = 71,380.21/x
  3. Step 3: Cross multiply
    183,714.78x = 275,501.32 × 71,380.21
  4. Step 4: Simplify right side
    183,714.78x = 19,665,340,342.47
  5. Step 5: Solve for x
    x = 19,665,340,342.47/183,714.78
  6. Step 6: Final answer
    x = 107,042.78

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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.