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Finding the Fourth Proportional to 171,877.14, 257,811.75 and 101,247.84

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Solution

The fourth proportional to 171,877.14, 257,811.75 and 101,247.84 is: 151,869.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,877.14 : 257,811.75 = 101,247.84 : x
  2. Step 2: Convert to fraction form
    171,877.14/257,811.75 = 101,247.84/x
  3. Step 3: Cross multiply
    171,877.14x = 257,811.75 × 101,247.84
  4. Step 4: Simplify right side
    171,877.14x = 26,102,882,814.12
  5. Step 5: Solve for x
    x = 26,102,882,814.12/171,877.14
  6. Step 6: Final answer
    x = 151,869.43

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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.