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Finding the Fourth Proportional to 123,023.60, 184,420.20 and 96,354.80

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Solution

The fourth proportional to 123,023.60, 184,420.20 and 96,354.80 is: 144,441.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,023.60 : 184,420.20 = 96,354.80 : x
  2. Step 2: Convert to fraction form
    123,023.60/184,420.20 = 96,354.80/x
  3. Step 3: Cross multiply
    123,023.60x = 184,420.20 × 96,354.80
  4. Step 4: Simplify right side
    123,023.60x = 17,769,771,486.96
  5. Step 5: Solve for x
    x = 17,769,771,486.96/123,023.60
  6. Step 6: Final answer
    x = 144,441.97

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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.