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Finding the Fourth Proportional to 194,805.91, 292,238.08 and 68,423.88

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Solution

The fourth proportional to 194,805.91, 292,238.08 and 68,423.88 is: 102,646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,805.91 : 292,238.08 = 68,423.88 : x
  2. Step 2: Convert to fraction form
    194,805.91/292,238.08 = 68,423.88/x
  3. Step 3: Cross multiply
    194,805.91x = 292,238.08 × 68,423.88
  4. Step 4: Simplify right side
    194,805.91x = 19,996,063,317.35
  5. Step 5: Solve for x
    x = 19,996,063,317.35/194,805.91
  6. Step 6: Final answer
    x = 102,646.08

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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.