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Finding the Fourth Proportional to 171,609.90, 257,414.85 and 53,293.20

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Solution

The fourth proportional to 171,609.90, 257,414.85 and 53,293.20 is: 79,939.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,609.90 : 257,414.85 = 53,293.20 : x
  2. Step 2: Convert to fraction form
    171,609.90/257,414.85 = 53,293.20/x
  3. Step 3: Cross multiply
    171,609.90x = 257,414.85 × 53,293.20
  4. Step 4: Simplify right side
    171,609.90x = 13,718,461,084.02
  5. Step 5: Solve for x
    x = 13,718,461,084.02/171,609.90
  6. Step 6: Final answer
    x = 79,939.80

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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.