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Finding the Fourth Proportional to 123,065.60, 184,209.60 and 96,627.20

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Solution

The fourth proportional to 123,065.60, 184,209.60 and 96,627.20 is: 144,635.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,065.60 : 184,209.60 = 96,627.20 : x
  2. Step 2: Convert to fraction form
    123,065.60/184,209.60 = 96,627.20/x
  3. Step 3: Cross multiply
    123,065.60x = 184,209.60 × 96,627.20
  4. Step 4: Simplify right side
    123,065.60x = 17,799,657,861.12
  5. Step 5: Solve for x
    x = 17,799,657,861.12/123,065.60
  6. Step 6: Final answer
    x = 144,635.53

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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.