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Finding the Fourth Proportional to 114,588.30, 171,576 and 67,164.42

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Solution

The fourth proportional to 114,588.30, 171,576 and 67,164.42 is: 100,567.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,588.30 : 171,576 = 67,164.42 : x
  2. Step 2: Convert to fraction form
    114,588.30/171,576 = 67,164.42/x
  3. Step 3: Cross multiply
    114,588.30x = 171,576 × 67,164.42
  4. Step 4: Simplify right side
    114,588.30x = 11,523,802,525.92
  5. Step 5: Solve for x
    x = 11,523,802,525.92/114,588.30
  6. Step 6: Final answer
    x = 100,567.01

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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.