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Finding the Fourth Proportional to 200,643.90, 300,966.39 and 50,884.29

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Solution

The fourth proportional to 200,643.90, 300,966.39 and 50,884.29 is: 76,326.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,643.90 : 300,966.39 = 50,884.29 : x
  2. Step 2: Convert to fraction form
    200,643.90/300,966.39 = 50,884.29/x
  3. Step 3: Cross multiply
    200,643.90x = 300,966.39 × 50,884.29
  4. Step 4: Simplify right side
    200,643.90x = 15,314,461,069.01
  5. Step 5: Solve for x
    x = 15,314,461,069.01/200,643.90
  6. Step 6: Final answer
    x = 76,326.57

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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.