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Finding the Fourth Proportional to 123,182.33, 184,690.47 and 99,518.99

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Solution

The fourth proportional to 123,182.33, 184,690.47 and 99,518.99 is: 149,211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,182.33 : 184,690.47 = 99,518.99 : x
  2. Step 2: Convert to fraction form
    123,182.33/184,690.47 = 99,518.99/x
  3. Step 3: Cross multiply
    123,182.33x = 184,690.47 × 99,518.99
  4. Step 4: Simplify right side
    123,182.33x = 18,380,209,037.03
  5. Step 5: Solve for x
    x = 18,380,209,037.03/123,182.33
  6. Step 6: Final answer
    x = 149,211.41

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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.