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Finding the Fourth Proportional to 114,171.89, 171,239.23 and 38,304

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Solution

The fourth proportional to 114,171.89, 171,239.23 and 38,304 is: 57,449.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,171.89 : 171,239.23 = 38,304 : x
  2. Step 2: Convert to fraction form
    114,171.89/171,239.23 = 38,304/x
  3. Step 3: Cross multiply
    114,171.89x = 171,239.23 × 38,304
  4. Step 4: Simplify right side
    114,171.89x = 6,559,147,465.92
  5. Step 5: Solve for x
    x = 6,559,147,465.92/114,171.89
  6. Step 6: Final answer
    x = 57,449.76

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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.