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Finding the Fourth Proportional to 171,724.45, 257,404.88 and 57,763.77

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Solution

The fourth proportional to 171,724.45, 257,404.88 and 57,763.77 is: 86,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,724.45 : 257,404.88 = 57,763.77 : x
  2. Step 2: Convert to fraction form
    171,724.45/257,404.88 = 57,763.77/x
  3. Step 3: Cross multiply
    171,724.45x = 257,404.88 × 57,763.77
  4. Step 4: Simplify right side
    171,724.45x = 14,868,675,996.38
  5. Step 5: Solve for x
    x = 14,868,675,996.38/171,724.45
  6. Step 6: Final answer
    x = 86,584.50

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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.