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Finding the Fourth Proportional to 171,713.06, 257,564.10 and 45,349.40

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Solution

The fourth proportional to 171,713.06, 257,564.10 and 45,349.40 is: 68,022.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,713.06 : 257,564.10 = 45,349.40 : x
  2. Step 2: Convert to fraction form
    171,713.06/257,564.10 = 45,349.40/x
  3. Step 3: Cross multiply
    171,713.06x = 257,564.10 × 45,349.40
  4. Step 4: Simplify right side
    171,713.06x = 11,680,377,396.54
  5. Step 5: Solve for x
    x = 11,680,377,396.54/171,713.06
  6. Step 6: Final answer
    x = 68,022.65

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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.