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Finding the Fourth Proportional to 123,290.60, 184,956.64 and 39,074.24

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Solution

The fourth proportional to 123,290.60, 184,956.64 and 39,074.24 is: 58,617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,290.60 : 184,956.64 = 39,074.24 : x
  2. Step 2: Convert to fraction form
    123,290.60/184,956.64 = 39,074.24/x
  3. Step 3: Cross multiply
    123,290.60x = 184,956.64 × 39,074.24
  4. Step 4: Simplify right side
    123,290.60x = 7,227,040,140.95
  5. Step 5: Solve for x
    x = 7,227,040,140.95/123,290.60
  6. Step 6: Final answer
    x = 58,617.93

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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.