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Finding the Fourth Proportional to 204,049, 306,091.14 and 56,305

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Solution

The fourth proportional to 204,049, 306,091.14 and 56,305 is: 84,462.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,049 : 306,091.14 = 56,305 : x
  2. Step 2: Convert to fraction form
    204,049/306,091.14 = 56,305/x
  3. Step 3: Cross multiply
    204,049x = 306,091.14 × 56,305
  4. Step 4: Simplify right side
    204,049x = 17,234,461,637.70
  5. Step 5: Solve for x
    x = 17,234,461,637.70/204,049
  6. Step 6: Final answer
    x = 84,462.37

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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.