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Finding the Fourth Proportional to 123,258.82, 184,888.24 and 29,764.57

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Solution

The fourth proportional to 123,258.82, 184,888.24 and 29,764.57 is: 44,646.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,258.82 : 184,888.24 = 29,764.57 : x
  2. Step 2: Convert to fraction form
    123,258.82/184,888.24 = 29,764.57/x
  3. Step 3: Cross multiply
    123,258.82x = 184,888.24 × 29,764.57
  4. Step 4: Simplify right side
    123,258.82x = 5,503,118,961.66
  5. Step 5: Solve for x
    x = 5,503,118,961.66/123,258.82
  6. Step 6: Final answer
    x = 44,646.86

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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.