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Finding the Fourth Proportional to 200,769.20, 300,951.30 and 74,328.20

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Solution

The fourth proportional to 200,769.20, 300,951.30 and 74,328.20 is: 111,417.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,769.20 : 300,951.30 = 74,328.20 : x
  2. Step 2: Convert to fraction form
    200,769.20/300,951.30 = 74,328.20/x
  3. Step 3: Cross multiply
    200,769.20x = 300,951.30 × 74,328.20
  4. Step 4: Simplify right side
    200,769.20x = 22,369,168,416.66
  5. Step 5: Solve for x
    x = 22,369,168,416.66/200,769.20
  6. Step 6: Final answer
    x = 111,417.33

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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.