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Finding the Fourth Proportional to 171,653.90, 257,437.74 and 81,641.06

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Solution

The fourth proportional to 171,653.90, 257,437.74 and 81,641.06 is: 122,441.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,653.90 : 257,437.74 = 81,641.06 : x
  2. Step 2: Convert to fraction form
    171,653.90/257,437.74 = 81,641.06/x
  3. Step 3: Cross multiply
    171,653.90x = 257,437.74 × 81,641.06
  4. Step 4: Simplify right side
    171,653.90x = 21,017,489,977.60
  5. Step 5: Solve for x
    x = 21,017,489,977.60/171,653.90
  6. Step 6: Final answer
    x = 122,441.09

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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.