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Finding the Fourth Proportional to 193,023.60, 289,794.60 and 123,212.40

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Solution

The fourth proportional to 193,023.60, 289,794.60 and 123,212.40 is: 184,984.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,023.60 : 289,794.60 = 123,212.40 : x
  2. Step 2: Convert to fraction form
    193,023.60/289,794.60 = 123,212.40/x
  3. Step 3: Cross multiply
    193,023.60x = 289,794.60 × 123,212.40
  4. Step 4: Simplify right side
    193,023.60x = 35,706,288,173.04
  5. Step 5: Solve for x
    x = 35,706,288,173.04/193,023.60
  6. Step 6: Final answer
    x = 184,984.05

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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.