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Finding the Fourth Proportional to 200,269.92, 274,900 and 177,101.20

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Solution

The fourth proportional to 200,269.92, 274,900 and 177,101.20 is: 243,097.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,269.92 : 274,900 = 177,101.20 : x
  2. Step 2: Convert to fraction form
    200,269.92/274,900 = 177,101.20/x
  3. Step 3: Cross multiply
    200,269.92x = 274,900 × 177,101.20
  4. Step 4: Simplify right side
    200,269.92x = 48,685,119,880
  5. Step 5: Solve for x
    x = 48,685,119,880/200,269.92
  6. Step 6: Final answer
    x = 243,097.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.