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Finding the Fourth Proportional to 171,326.44, 257,013.42 and 52,982.20

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Solution

The fourth proportional to 171,326.44, 257,013.42 and 52,982.20 is: 79,480.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,326.44 : 257,013.42 = 52,982.20 : x
  2. Step 2: Convert to fraction form
    171,326.44/257,013.42 = 52,982.20/x
  3. Step 3: Cross multiply
    171,326.44x = 257,013.42 × 52,982.20
  4. Step 4: Simplify right side
    171,326.44x = 13,617,136,421.12
  5. Step 5: Solve for x
    x = 13,617,136,421.12/171,326.44
  6. Step 6: Final answer
    x = 79,480.65

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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.