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Finding the Fourth Proportional to 199,810.78, 275,747.16 and 114,927.94

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Solution

The fourth proportional to 199,810.78, 275,747.16 and 114,927.94 is: 158,605.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,810.78 : 275,747.16 = 114,927.94 : x
  2. Step 2: Convert to fraction form
    199,810.78/275,747.16 = 114,927.94/x
  3. Step 3: Cross multiply
    199,810.78x = 275,747.16 × 114,927.94
  4. Step 4: Simplify right side
    199,810.78x = 31,691,053,059.65
  5. Step 5: Solve for x
    x = 31,691,053,059.65/199,810.78
  6. Step 6: Final answer
    x = 158,605.32

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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.