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Finding the Fourth Proportional to 183,714.80, 275,183.40 and 144,057.20

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Solution

The fourth proportional to 183,714.80, 275,183.40 and 144,057.20 is: 215,780.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,714.80 : 275,183.40 = 144,057.20 : x
  2. Step 2: Convert to fraction form
    183,714.80/275,183.40 = 144,057.20/x
  3. Step 3: Cross multiply
    183,714.80x = 275,183.40 × 144,057.20
  4. Step 4: Simplify right side
    183,714.80x = 39,642,150,090.48
  5. Step 5: Solve for x
    x = 39,642,150,090.48/183,714.80
  6. Step 6: Final answer
    x = 215,780.93

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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.