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Finding the Fourth Proportional to 171,560.68, 257,393.94 and 76,870.60

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Solution

The fourth proportional to 171,560.68, 257,393.94 and 76,870.60 is: 115,329.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,560.68 : 257,393.94 = 76,870.60 : x
  2. Step 2: Convert to fraction form
    171,560.68/257,393.94 = 76,870.60/x
  3. Step 3: Cross multiply
    171,560.68x = 257,393.94 × 76,870.60
  4. Step 4: Simplify right side
    171,560.68x = 19,786,026,604.16
  5. Step 5: Solve for x
    x = 19,786,026,604.16/171,560.68
  6. Step 6: Final answer
    x = 115,329.61

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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.