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Finding the Fourth Proportional to 123,194.31, 184,789.85 and 29,699.31

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Solution

The fourth proportional to 123,194.31, 184,789.85 and 29,699.31 is: 44,548.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,194.31 : 184,789.85 = 29,699.31 : x
  2. Step 2: Convert to fraction form
    123,194.31/184,789.85 = 29,699.31/x
  3. Step 3: Cross multiply
    123,194.31x = 184,789.85 × 29,699.31
  4. Step 4: Simplify right side
    123,194.31x = 5,488,130,891.51
  5. Step 5: Solve for x
    x = 5,488,130,891.51/123,194.31
  6. Step 6: Final answer
    x = 44,548.57

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1.5x scale

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.