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Finding the Fourth Proportional to 171,525, 257,375.25 and 81,669.36

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Solution

The fourth proportional to 171,525, 257,375.25 and 81,669.36 is: 122,545.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,525 : 257,375.25 = 81,669.36 : x
  2. Step 2: Convert to fraction form
    171,525/257,375.25 = 81,669.36/x
  3. Step 3: Cross multiply
    171,525x = 257,375.25 × 81,669.36
  4. Step 4: Simplify right side
    171,525x = 21,019,671,947.34
  5. Step 5: Solve for x
    x = 21,019,671,947.34/171,525
  6. Step 6: Final answer
    x = 122,545.82

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