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Finding the Fourth Proportional to 194,741.30, 292,221.30 and 82,402.40

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Solution

The fourth proportional to 194,741.30, 292,221.30 and 82,402.40 is: 123,649.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,741.30 : 292,221.30 = 82,402.40 : x
  2. Step 2: Convert to fraction form
    194,741.30/292,221.30 = 82,402.40/x
  3. Step 3: Cross multiply
    194,741.30x = 292,221.30 × 82,402.40
  4. Step 4: Simplify right side
    194,741.30x = 24,079,736,451.12
  5. Step 5: Solve for x
    x = 24,079,736,451.12/194,741.30
  6. Step 6: Final answer
    x = 123,649.87

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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.