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Finding the Fourth Proportional to 194,805.64, 292,239.19 and 82,486.49

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Solution

The fourth proportional to 194,805.64, 292,239.19 and 82,486.49 is: 123,742.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,805.64 : 292,239.19 = 82,486.49 : x
  2. Step 2: Convert to fraction form
    194,805.64/292,239.19 = 82,486.49/x
  3. Step 3: Cross multiply
    194,805.64x = 292,239.19 × 82,486.49
  4. Step 4: Simplify right side
    194,805.64x = 24,105,783,665.46
  5. Step 5: Solve for x
    x = 24,105,783,665.46/194,805.64
  6. Step 6: Final answer
    x = 123,742.74

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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.