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Finding the Fourth Proportional to 200,293.49, 300,432.38 and 50,531.91

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Solution

The fourth proportional to 200,293.49, 300,432.38 and 50,531.91 is: 75,795.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,293.49 : 300,432.38 = 50,531.91 : x
  2. Step 2: Convert to fraction form
    200,293.49/300,432.38 = 50,531.91/x
  3. Step 3: Cross multiply
    200,293.49x = 300,432.38 × 50,531.91
  4. Step 4: Simplify right side
    200,293.49x = 15,181,421,734.59
  5. Step 5: Solve for x
    x = 15,181,421,734.59/200,293.49
  6. Step 6: Final answer
    x = 75,795.88

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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.