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Finding the Fourth Proportional to 200,696.46, 276,973.90 and 132,593.96

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Solution

The fourth proportional to 200,696.46, 276,973.90 and 132,593.96 is: 182,988.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,696.46 : 276,973.90 = 132,593.96 : x
  2. Step 2: Convert to fraction form
    200,696.46/276,973.90 = 132,593.96/x
  3. Step 3: Cross multiply
    200,696.46x = 276,973.90 × 132,593.96
  4. Step 4: Simplify right side
    200,696.46x = 36,725,066,217.64
  5. Step 5: Solve for x
    x = 36,725,066,217.64/200,696.46
  6. Step 6: Final answer
    x = 182,988.11

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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.