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Finding the Fourth Proportional to 171,909.41, 257,805.71 and 59,563.40

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Solution

The fourth proportional to 171,909.41, 257,805.71 and 59,563.40 is: 89,324.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,909.41 : 257,805.71 = 59,563.40 : x
  2. Step 2: Convert to fraction form
    171,909.41/257,805.71 = 59,563.40/x
  3. Step 3: Cross multiply
    171,909.41x = 257,805.71 × 59,563.40
  4. Step 4: Simplify right side
    171,909.41x = 15,355,784,775.92
  5. Step 5: Solve for x
    x = 15,355,784,775.92/171,909.41
  6. Step 6: Final answer
    x = 89,324.87

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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.