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Finding the Fourth Proportional to 171,853.40, 257,561.40 and 82,915.40

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Solution

The fourth proportional to 171,853.40, 257,561.40 and 82,915.40 is: 124,267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,853.40 : 257,561.40 = 82,915.40 : x
  2. Step 2: Convert to fraction form
    171,853.40/257,561.40 = 82,915.40/x
  3. Step 3: Cross multiply
    171,853.40x = 257,561.40 × 82,915.40
  4. Step 4: Simplify right side
    171,853.40x = 21,355,806,505.56
  5. Step 5: Solve for x
    x = 21,355,806,505.56/171,853.40
  6. Step 6: Final answer
    x = 124,267.58

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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.