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Finding the Fourth Proportional to 204,582, 306,876.84 and 56,841.84

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Solution

The fourth proportional to 204,582, 306,876.84 and 56,841.84 is: 85,263.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,582 : 306,876.84 = 56,841.84 : x
  2. Step 2: Convert to fraction form
    204,582/306,876.84 = 56,841.84/x
  3. Step 3: Cross multiply
    204,582x = 306,876.84 × 56,841.84
  4. Step 4: Simplify right side
    204,582x = 17,443,444,238.99
  5. Step 5: Solve for x
    x = 17,443,444,238.99/204,582
  6. Step 6: Final answer
    x = 85,263.83

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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.