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Finding the Fourth Proportional to 216,063.80, 323,942.10 and 82,892.60

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Solution

The fourth proportional to 216,063.80, 323,942.10 and 82,892.60 is: 124,279.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,063.80 : 323,942.10 = 82,892.60 : x
  2. Step 2: Convert to fraction form
    216,063.80/323,942.10 = 82,892.60/x
  3. Step 3: Cross multiply
    216,063.80x = 323,942.10 × 82,892.60
  4. Step 4: Simplify right side
    216,063.80x = 26,852,402,918.46
  5. Step 5: Solve for x
    x = 26,852,402,918.46/216,063.80
  6. Step 6: Final answer
    x = 124,279.97

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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.