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Finding the Fourth Proportional to 171,770.76, 257,668.55 and 57,918.96

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Solution

The fourth proportional to 171,770.76, 257,668.55 and 57,918.96 is: 86,882.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,770.76 : 257,668.55 = 57,918.96 : x
  2. Step 2: Convert to fraction form
    171,770.76/257,668.55 = 57,918.96/x
  3. Step 3: Cross multiply
    171,770.76x = 257,668.55 × 57,918.96
  4. Step 4: Simplify right side
    171,770.76x = 14,923,894,440.71
  5. Step 5: Solve for x
    x = 14,923,894,440.71/171,770.76
  6. Step 6: Final answer
    x = 86,882.62

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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.