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Finding the Fourth Proportional to 204,236, 306,371.28 and 56,492

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Solution

The fourth proportional to 204,236, 306,371.28 and 56,492 is: 84,742.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,236 : 306,371.28 = 56,492 : x
  2. Step 2: Convert to fraction form
    204,236/306,371.28 = 56,492/x
  3. Step 3: Cross multiply
    204,236x = 306,371.28 × 56,492
  4. Step 4: Simplify right side
    204,236x = 17,307,526,349.76
  5. Step 5: Solve for x
    x = 17,307,526,349.76/204,236
  6. Step 6: Final answer
    x = 84,742.78

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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.