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Finding the Fourth Proportional to 191,907.88, 285,932.33 and 181,177

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Solution

The fourth proportional to 191,907.88, 285,932.33 and 181,177 is: 269,943.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,907.88 : 285,932.33 = 181,177 : x
  2. Step 2: Convert to fraction form
    191,907.88/285,932.33 = 181,177/x
  3. Step 3: Cross multiply
    191,907.88x = 285,932.33 × 181,177
  4. Step 4: Simplify right side
    191,907.88x = 51,804,361,752.41
  5. Step 5: Solve for x
    x = 51,804,361,752.41/191,907.88
  6. Step 6: Final answer
    x = 269,943.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.