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Finding the Fourth Proportional to 204,712.76, 306,861.10 and 84,834.92

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Solution

The fourth proportional to 204,712.76, 306,861.10 and 84,834.92 is: 127,166.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,712.76 : 306,861.10 = 84,834.92 : x
  2. Step 2: Convert to fraction form
    204,712.76/306,861.10 = 84,834.92/x
  3. Step 3: Cross multiply
    204,712.76x = 306,861.10 × 84,834.92
  4. Step 4: Simplify right side
    204,712.76x = 26,032,536,869.61
  5. Step 5: Solve for x
    x = 26,032,536,869.61/204,712.76
  6. Step 6: Final answer
    x = 127,166.17

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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.