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Finding the Fourth Proportional to 200,512.92, 300,769.61 and 60,271.55

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Solution

The fourth proportional to 200,512.92, 300,769.61 and 60,271.55 is: 90,407.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,512.92 : 300,769.61 = 60,271.55 : x
  2. Step 2: Convert to fraction form
    200,512.92/300,769.61 = 60,271.55/x
  3. Step 3: Cross multiply
    200,512.92x = 300,769.61 × 60,271.55
  4. Step 4: Simplify right side
    200,512.92x = 18,127,849,083.75
  5. Step 5: Solve for x
    x = 18,127,849,083.75/200,512.92
  6. Step 6: Final answer
    x = 90,407.39

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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.