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Finding the Fourth Proportional to 171,857.38, 257,724.55 and 59,507.43

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Solution

The fourth proportional to 171,857.38, 257,724.55 and 59,507.43 is: 89,239.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,857.38 : 257,724.55 = 59,507.43 : x
  2. Step 2: Convert to fraction form
    171,857.38/257,724.55 = 59,507.43/x
  3. Step 3: Cross multiply
    171,857.38x = 257,724.55 × 59,507.43
  4. Step 4: Simplify right side
    171,857.38x = 15,336,525,618.41
  5. Step 5: Solve for x
    x = 15,336,525,618.41/171,857.38
  6. Step 6: Final answer
    x = 89,239.84

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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.