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Finding the Fourth Proportional to 189,241.34, 283,540.64 and 114,203.80

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Solution

The fourth proportional to 189,241.34, 283,540.64 and 114,203.80 is: 171,111.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,241.34 : 283,540.64 = 114,203.80 : x
  2. Step 2: Convert to fraction form
    189,241.34/283,540.64 = 114,203.80/x
  3. Step 3: Cross multiply
    189,241.34x = 283,540.64 × 114,203.80
  4. Step 4: Simplify right side
    189,241.34x = 32,381,418,542.43
  5. Step 5: Solve for x
    x = 32,381,418,542.43/189,241.34
  6. Step 6: Final answer
    x = 171,111.76

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1.5x scale

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.