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Finding the Fourth Proportional to 204,031, 306,064.14 and 56,287

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Solution

The fourth proportional to 204,031, 306,064.14 and 56,287 is: 84,435.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,031 : 306,064.14 = 56,287 : x
  2. Step 2: Convert to fraction form
    204,031/306,064.14 = 56,287/x
  3. Step 3: Cross multiply
    204,031x = 306,064.14 × 56,287
  4. Step 4: Simplify right side
    204,031x = 17,227,432,248.18
  5. Step 5: Solve for x
    x = 17,227,432,248.18/204,031
  6. Step 6: Final answer
    x = 84,435.37

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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.