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Finding the Fourth Proportional to 171,966.68, 257,716.73 and 97,049.78

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Solution

The fourth proportional to 171,966.68, 257,716.73 and 97,049.78 is: 145,443.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,966.68 : 257,716.73 = 97,049.78 : x
  2. Step 2: Convert to fraction form
    171,966.68/257,716.73 = 97,049.78/x
  3. Step 3: Cross multiply
    171,966.68x = 257,716.73 × 97,049.78
  4. Step 4: Simplify right side
    171,966.68x = 25,011,350,174.99
  5. Step 5: Solve for x
    x = 25,011,350,174.99/171,966.68
  6. Step 6: Final answer
    x = 145,443.01

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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.