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Finding the Fourth Proportional to 123,305.64, 184,958.46 and 52,239.48

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Solution

The fourth proportional to 123,305.64, 184,958.46 and 52,239.48 is: 78,359.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,305.64 : 184,958.46 = 52,239.48 : x
  2. Step 2: Convert to fraction form
    123,305.64/184,958.46 = 52,239.48/x
  3. Step 3: Cross multiply
    123,305.64x = 184,958.46 × 52,239.48
  4. Step 4: Simplify right side
    123,305.64x = 9,662,133,772.00
  5. Step 5: Solve for x
    x = 9,662,133,772.00/123,305.64
  6. Step 6: Final answer
    x = 78,359.22

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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.