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Finding the Fourth Proportional to 171,960.41, 257,946.44 and 45,613.42

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Solution

The fourth proportional to 171,960.41, 257,946.44 and 45,613.42 is: 68,421.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,960.41 : 257,946.44 = 45,613.42 : x
  2. Step 2: Convert to fraction form
    171,960.41/257,946.44 = 45,613.42/x
  3. Step 3: Cross multiply
    171,960.41x = 257,946.44 × 45,613.42
  4. Step 4: Simplify right side
    171,960.41x = 11,765,818,432.29
  5. Step 5: Solve for x
    x = 11,765,818,432.29/171,960.41
  6. Step 6: Final answer
    x = 68,421.67

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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.