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Finding the Fourth Proportional to 171,561.68, 257,395.44 and 76,871.60

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Solution

The fourth proportional to 171,561.68, 257,395.44 and 76,871.60 is: 115,331.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,561.68 : 257,395.44 = 76,871.60 : x
  2. Step 2: Convert to fraction form
    171,561.68/257,395.44 = 76,871.60/x
  3. Step 3: Cross multiply
    171,561.68x = 257,395.44 × 76,871.60
  4. Step 4: Simplify right side
    171,561.68x = 19,786,399,305.50
  5. Step 5: Solve for x
    x = 19,786,399,305.50/171,561.68
  6. Step 6: Final answer
    x = 115,331.11

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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.