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Finding the Fourth Proportional to 200,720.67, 301,081.14 and 50,972.19

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Solution

The fourth proportional to 200,720.67, 301,081.14 and 50,972.19 is: 76,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,720.67 : 301,081.14 = 50,972.19 : x
  2. Step 2: Convert to fraction form
    200,720.67/301,081.14 = 50,972.19/x
  3. Step 3: Cross multiply
    200,720.67x = 301,081.14 × 50,972.19
  4. Step 4: Simplify right side
    200,720.67x = 15,346,765,073.50
  5. Step 5: Solve for x
    x = 15,346,765,073.50/200,720.67
  6. Step 6: Final answer
    x = 76,458.32

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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.