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Finding the Fourth Proportional to 171,896.78, 257,897.96 and 82,054.13

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Solution

The fourth proportional to 171,896.78, 257,897.96 and 82,054.13 is: 123,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,896.78 : 257,897.96 = 82,054.13 : x
  2. Step 2: Convert to fraction form
    171,896.78/257,897.96 = 82,054.13/x
  3. Step 3: Cross multiply
    171,896.78x = 257,897.96 × 82,054.13
  4. Step 4: Simplify right side
    171,896.78x = 21,161,591,036.81
  5. Step 5: Solve for x
    x = 21,161,591,036.81/171,896.78
  6. Step 6: Final answer
    x = 123,106.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.