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Finding the Fourth Proportional to 234,847.92, 324,147.78 and 144,225.48

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Solution

The fourth proportional to 234,847.92, 324,147.78 and 144,225.48 is: 199,066.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,847.92 : 324,147.78 = 144,225.48 : x
  2. Step 2: Convert to fraction form
    234,847.92/324,147.78 = 144,225.48/x
  3. Step 3: Cross multiply
    234,847.92x = 324,147.78 × 144,225.48
  4. Step 4: Simplify right side
    234,847.92x = 46,750,369,161.43
  5. Step 5: Solve for x
    x = 46,750,369,161.43/234,847.92
  6. Step 6: Final answer
    x = 199,066.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.