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Finding the Fourth Proportional to 200,650.28, 300,975.98 and 50,890.68

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Solution

The fourth proportional to 200,650.28, 300,975.98 and 50,890.68 is: 76,336.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,650.28 : 300,975.98 = 50,890.68 : x
  2. Step 2: Convert to fraction form
    200,650.28/300,975.98 = 50,890.68/x
  3. Step 3: Cross multiply
    200,650.28x = 300,975.98 × 50,890.68
  4. Step 4: Simplify right side
    200,650.28x = 15,316,872,031.41
  5. Step 5: Solve for x
    x = 15,316,872,031.41/200,650.28
  6. Step 6: Final answer
    x = 76,336.16

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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.