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Finding the Fourth Proportional to 123,308.64, 184,964.24 and 43,348.85

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Solution

The fourth proportional to 123,308.64, 184,964.24 and 43,348.85 is: 65,023.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,308.64 : 184,964.24 = 43,348.85 : x
  2. Step 2: Convert to fraction form
    123,308.64/184,964.24 = 43,348.85/x
  3. Step 3: Cross multiply
    123,308.64x = 184,964.24 × 43,348.85
  4. Step 4: Simplify right side
    123,308.64x = 8,017,986,497.80
  5. Step 5: Solve for x
    x = 8,017,986,497.80/123,308.64
  6. Step 6: Final answer
    x = 65,023.72

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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.