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Finding the Fourth Proportional to 213,108.30, 294,127.58 and 127,072.82

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Solution

The fourth proportional to 213,108.30, 294,127.58 and 127,072.82 is: 175,383.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,108.30 : 294,127.58 = 127,072.82 : x
  2. Step 2: Convert to fraction form
    213,108.30/294,127.58 = 127,072.82/x
  3. Step 3: Cross multiply
    213,108.30x = 294,127.58 × 127,072.82
  4. Step 4: Simplify right side
    213,108.30x = 37,375,622,083.38
  5. Step 5: Solve for x
    x = 37,375,622,083.38/213,108.30
  6. Step 6: Final answer
    x = 175,383.23

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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.