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Finding the Fourth Proportional to 200,714.67, 301,072.14 and 50,966.19

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Solution

The fourth proportional to 200,714.67, 301,072.14 and 50,966.19 is: 76,449.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,714.67 : 301,072.14 = 50,966.19 : x
  2. Step 2: Convert to fraction form
    200,714.67/301,072.14 = 50,966.19/x
  3. Step 3: Cross multiply
    200,714.67x = 301,072.14 × 50,966.19
  4. Step 4: Simplify right side
    200,714.67x = 15,344,499,890.95
  5. Step 5: Solve for x
    x = 15,344,499,890.95/200,714.67
  6. Step 6: Final answer
    x = 76,449.32

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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.