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Finding the Fourth Proportional to 171,201.68, 256,592.19 and 96,164.09

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Solution

The fourth proportional to 171,201.68, 256,592.19 and 96,164.09 is: 144,127.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,201.68 : 256,592.19 = 96,164.09 : x
  2. Step 2: Convert to fraction form
    171,201.68/256,592.19 = 96,164.09/x
  3. Step 3: Cross multiply
    171,201.68x = 256,592.19 × 96,164.09
  4. Step 4: Simplify right side
    171,201.68x = 24,674,953,169.50
  5. Step 5: Solve for x
    x = 24,674,953,169.50/171,201.68
  6. Step 6: Final answer
    x = 144,127.99

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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.