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Finding the Fourth Proportional to 123,231.60, 184,874.40 and 48,351.60

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Solution

The fourth proportional to 123,231.60, 184,874.40 and 48,351.60 is: 72,537.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,231.60 : 184,874.40 = 48,351.60 : x
  2. Step 2: Convert to fraction form
    123,231.60/184,874.40 = 48,351.60/x
  3. Step 3: Cross multiply
    123,231.60x = 184,874.40 × 48,351.60
  4. Step 4: Simplify right side
    123,231.60x = 8,938,973,039.04
  5. Step 5: Solve for x
    x = 8,938,973,039.04/123,231.60
  6. Step 6: Final answer
    x = 72,537.99

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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.