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Finding the Fourth Proportional to 194,736.30, 292,213.80 and 82,397.40

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Solution

The fourth proportional to 194,736.30, 292,213.80 and 82,397.40 is: 123,642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,736.30 : 292,213.80 = 82,397.40 : x
  2. Step 2: Convert to fraction form
    194,736.30/292,213.80 = 82,397.40/x
  3. Step 3: Cross multiply
    194,736.30x = 292,213.80 × 82,397.40
  4. Step 4: Simplify right side
    194,736.30x = 24,077,657,364.12
  5. Step 5: Solve for x
    x = 24,077,657,364.12/194,736.30
  6. Step 6: Final answer
    x = 123,642.37

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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.