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Finding the Fourth Proportional to 171,024.90, 256,537.35 and 82,232.70

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Solution

The fourth proportional to 171,024.90, 256,537.35 and 82,232.70 is: 123,349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,024.90 : 256,537.35 = 82,232.70 : x
  2. Step 2: Convert to fraction form
    171,024.90/256,537.35 = 82,232.70/x
  3. Step 3: Cross multiply
    171,024.90x = 256,537.35 × 82,232.70
  4. Step 4: Simplify right side
    171,024.90x = 21,095,758,941.35
  5. Step 5: Solve for x
    x = 21,095,758,941.35/171,024.90
  6. Step 6: Final answer
    x = 123,349.05

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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.