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Finding the Fourth Proportional to 123,258.12, 184,914.84 and 39,023.33

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Solution

The fourth proportional to 123,258.12, 184,914.84 and 39,023.33 is: 58,543.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,258.12 : 184,914.84 = 39,023.33 : x
  2. Step 2: Convert to fraction form
    123,258.12/184,914.84 = 39,023.33/x
  3. Step 3: Cross multiply
    123,258.12x = 184,914.84 × 39,023.33
  4. Step 4: Simplify right side
    123,258.12x = 7,215,991,898.64
  5. Step 5: Solve for x
    x = 7,215,991,898.64/123,258.12
  6. Step 6: Final answer
    x = 58,543.74

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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.