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Finding the Fourth Proportional to 123,329.98, 184,884.24 and 102,404.50

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Solution

The fourth proportional to 123,329.98, 184,884.24 and 102,404.50 is: 153,514.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,329.98 : 184,884.24 = 102,404.50 : x
  2. Step 2: Convert to fraction form
    123,329.98/184,884.24 = 102,404.50/x
  3. Step 3: Cross multiply
    123,329.98x = 184,884.24 × 102,404.50
  4. Step 4: Simplify right side
    123,329.98x = 18,932,978,155.08
  5. Step 5: Solve for x
    x = 18,932,978,155.08/123,329.98
  6. Step 6: Final answer
    x = 153,514.81

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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.