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Finding the Fourth Proportional to 275,714.08, 380,629.96 and 185,544.16

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Solution

The fourth proportional to 275,714.08, 380,629.96 and 185,544.16 is: 256,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,714.08 : 380,629.96 = 185,544.16 : x
  2. Step 2: Convert to fraction form
    275,714.08/380,629.96 = 185,544.16/x
  3. Step 3: Cross multiply
    275,714.08x = 380,629.96 × 185,544.16
  4. Step 4: Simplify right side
    275,714.08x = 70,623,666,199.03
  5. Step 5: Solve for x
    x = 70,623,666,199.03/275,714.08
  6. Step 6: Final answer
    x = 256,148.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.