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Finding the Fourth Proportional to 123,309.64, 184,965.74 and 43,349.85

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Solution

The fourth proportional to 123,309.64, 184,965.74 and 43,349.85 is: 65,025.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,309.64 : 184,965.74 = 43,349.85 : x
  2. Step 2: Convert to fraction form
    123,309.64/184,965.74 = 43,349.85/x
  3. Step 3: Cross multiply
    123,309.64x = 184,965.74 × 43,349.85
  4. Step 4: Simplify right side
    123,309.64x = 8,018,237,084.14
  5. Step 5: Solve for x
    x = 8,018,237,084.14/123,309.64
  6. Step 6: Final answer
    x = 65,025.22

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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.