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Finding the Fourth Proportional to 200,513.57, 276,698.18 and 114,469.16

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Solution

The fourth proportional to 200,513.57, 276,698.18 and 114,469.16 is: 157,961.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,513.57 : 276,698.18 = 114,469.16 : x
  2. Step 2: Convert to fraction form
    200,513.57/276,698.18 = 114,469.16/x
  3. Step 3: Cross multiply
    200,513.57x = 276,698.18 × 114,469.16
  4. Step 4: Simplify right side
    200,513.57x = 31,673,406,282.29
  5. Step 5: Solve for x
    x = 31,673,406,282.29/200,513.57
  6. Step 6: Final answer
    x = 157,961.41

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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.