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Finding the Fourth Proportional to 123,208.96, 184,813.48 and 43,309.66

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Solution

The fourth proportional to 123,208.96, 184,813.48 and 43,309.66 is: 64,964.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,208.96 : 184,813.48 = 43,309.66 : x
  2. Step 2: Convert to fraction form
    123,208.96/184,813.48 = 43,309.66/x
  3. Step 3: Cross multiply
    123,208.96x = 184,813.48 × 43,309.66
  4. Step 4: Simplify right side
    123,208.96x = 8,004,208,982.22
  5. Step 5: Solve for x
    x = 8,004,208,982.22/123,208.96
  6. Step 6: Final answer
    x = 64,964.50

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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.