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Finding the Fourth Proportional to 214,080.38, 295,150.87 and 184,186.82

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Solution

The fourth proportional to 214,080.38, 295,150.87 and 184,186.82 is: 253,936.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,080.38 : 295,150.87 = 184,186.82 : x
  2. Step 2: Convert to fraction form
    214,080.38/295,150.87 = 184,186.82/x
  3. Step 3: Cross multiply
    214,080.38x = 295,150.87 × 184,186.82
  4. Step 4: Simplify right side
    214,080.38x = 54,362,901,133.64
  5. Step 5: Solve for x
    x = 54,362,901,133.64/214,080.38
  6. Step 6: Final answer
    x = 253,936.87

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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.