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Finding the Fourth Proportional to 229,077.74, 343,627.41 and 189,022.43

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Solution

The fourth proportional to 229,077.74, 343,627.41 and 189,022.43 is: 283,542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,077.74 : 343,627.41 = 189,022.43 : x
  2. Step 2: Convert to fraction form
    229,077.74/343,627.41 = 189,022.43/x
  3. Step 3: Cross multiply
    229,077.74x = 343,627.41 × 189,022.43
  4. Step 4: Simplify right side
    229,077.74x = 64,953,288,052.81
  5. Step 5: Solve for x
    x = 64,953,288,052.81/229,077.74
  6. Step 6: Final answer
    x = 283,542.56

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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.