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Finding the Fourth Proportional to 171,506.84, 257,122.88 and 81,504.38

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Solution

The fourth proportional to 171,506.84, 257,122.88 and 81,504.38 is: 122,191.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,506.84 : 257,122.88 = 81,504.38 : x
  2. Step 2: Convert to fraction form
    171,506.84/257,122.88 = 81,504.38/x
  3. Step 3: Cross multiply
    171,506.84x = 257,122.88 × 81,504.38
  4. Step 4: Simplify right side
    171,506.84x = 20,956,640,510.69
  5. Step 5: Solve for x
    x = 20,956,640,510.69/171,506.84
  6. Step 6: Final answer
    x = 122,191.28

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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.