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Finding the Fourth Proportional to 171,499.84, 257,278.68 and 59,150

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Solution

The fourth proportional to 171,499.84, 257,278.68 and 59,150 is: 88,734.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,499.84 : 257,278.68 = 59,150 : x
  2. Step 2: Convert to fraction form
    171,499.84/257,278.68 = 59,150/x
  3. Step 3: Cross multiply
    171,499.84x = 257,278.68 × 59,150
  4. Step 4: Simplify right side
    171,499.84x = 15,218,033,922
  5. Step 5: Solve for x
    x = 15,218,033,922/171,499.84
  6. Step 6: Final answer
    x = 88,734.97

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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.