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Finding the Fourth Proportional to 200,704.34, 276,969.71 and 115,819.58

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Solution

The fourth proportional to 200,704.34, 276,969.71 and 115,819.58 is: 159,829.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,704.34 : 276,969.71 = 115,819.58 : x
  2. Step 2: Convert to fraction form
    200,704.34/276,969.71 = 115,819.58/x
  3. Step 3: Cross multiply
    200,704.34x = 276,969.71 × 115,819.58
  4. Step 4: Simplify right side
    200,704.34x = 32,078,514,905.82
  5. Step 5: Solve for x
    x = 32,078,514,905.82/200,704.34
  6. Step 6: Final answer
    x = 159,829.70

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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.