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Finding the Fourth Proportional to 123,147.04, 184,418.16 and 78,642.40

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Solution

The fourth proportional to 123,147.04, 184,418.16 and 78,642.40 is: 117,770.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,147.04 : 184,418.16 = 78,642.40 : x
  2. Step 2: Convert to fraction form
    123,147.04/184,418.16 = 78,642.40/x
  3. Step 3: Cross multiply
    123,147.04x = 184,418.16 × 78,642.40
  4. Step 4: Simplify right side
    123,147.04x = 14,503,086,705.98
  5. Step 5: Solve for x
    x = 14,503,086,705.98/123,147.04
  6. Step 6: Final answer
    x = 117,770.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.