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Finding the Fourth Proportional to 200,696.22, 277,147.71 and 129,200.04

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Solution

The fourth proportional to 200,696.22, 277,147.71 and 129,200.04 is: 178,416.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,696.22 : 277,147.71 = 129,200.04 : x
  2. Step 2: Convert to fraction form
    200,696.22/277,147.71 = 129,200.04/x
  3. Step 3: Cross multiply
    200,696.22x = 277,147.71 × 129,200.04
  4. Step 4: Simplify right side
    200,696.22x = 35,807,495,217.91
  5. Step 5: Solve for x
    x = 35,807,495,217.91/200,696.22
  6. Step 6: Final answer
    x = 178,416.39

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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.