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Finding the Fourth Proportional to 114,825.84, 172,164.71 and 54,821.85

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Solution

The fourth proportional to 114,825.84, 172,164.71 and 54,821.85 is: 82,197.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,825.84 : 172,164.71 = 54,821.85 : x
  2. Step 2: Convert to fraction form
    114,825.84/172,164.71 = 54,821.85/x
  3. Step 3: Cross multiply
    114,825.84x = 172,164.71 × 54,821.85
  4. Step 4: Simplify right side
    114,825.84x = 9,438,387,632.80
  5. Step 5: Solve for x
    x = 9,438,387,632.80/114,825.84
  6. Step 6: Final answer
    x = 82,197.42

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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.