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Finding the Fourth Proportional to 200,819.34, 277,128.36 and 115,934.58

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Solution

The fourth proportional to 200,819.34, 277,128.36 and 115,934.58 is: 159,988.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,819.34 : 277,128.36 = 115,934.58 : x
  2. Step 2: Convert to fraction form
    200,819.34/277,128.36 = 115,934.58/x
  3. Step 3: Cross multiply
    200,819.34x = 277,128.36 × 115,934.58
  4. Step 4: Simplify right side
    200,819.34x = 32,128,760,022.69
  5. Step 5: Solve for x
    x = 32,128,760,022.69/200,819.34
  6. Step 6: Final answer
    x = 159,988.38

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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.