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Finding the Fourth Proportional to 200,786.62, 277,082.95 and 114,744.62

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Solution

The fourth proportional to 200,786.62, 277,082.95 and 114,744.62 is: 158,346.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,786.62 : 277,082.95 = 114,744.62 : x
  2. Step 2: Convert to fraction form
    200,786.62/277,082.95 = 114,744.62/x
  3. Step 3: Cross multiply
    200,786.62x = 277,082.95 × 114,744.62
  4. Step 4: Simplify right side
    200,786.62x = 31,793,778,360.29
  5. Step 5: Solve for x
    x = 31,793,778,360.29/200,786.62
  6. Step 6: Final answer
    x = 158,346.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.